60 points! Complete each proof using the most appropriate method.

60 Points! Complete Each Proof Using The Most Appropriate Method.

Answers

Answer 1

The statements are true by following the principles of congruency.

What are congruent triangles and their property?

Two  harmonious triangles have identical areas and  peripheries. Each of a triangle's sides and angles is an exact match to its  harmonious triangle's corresponding sides and angles. We can  use five different  parcels to show that any two triangles are  harmonious SSS, SAS, AAS, ASA, and RHS.  

The SAS criterion stands for the Side- Angle- Side criterion. This standard  countries that two triangles are  harmonious if they've matching sides and included angles on  contrary sides of each other.

Side- Side- Side criterion is appertained to as the SSS criterion. According to this standard, two triangles are  harmonious if their  separate triangles' three sides are equal to one another.

1. In the first figure,

KL = LN [L is the mid - point]

ML = LP [L is the mid - point which bisects it]

∠MLK = ∠ NLP [Vertically opposite angle]

By Angle side Angle property, both the triangles are congruent

2. In the given figure,

∠ABD = ∠CBD [As BD bisects the angle ABC]

BD = BD [Common side]

∠BAD = ∠BCD [As triangles ΔBAD ≅ ΔBCD]

By Angle - side - angle property, ΔABD ≅ ΔCBD

3. Given,

QS = SU [S is the midpoint]

QR ≅ ST [Given]

RS ≅ TU [Given]

By Side - Side - Side property, ΔQRS ≅ ΔSTU

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Related Questions

A projectile is thrown into the air. The equation y=-3x² - 12x + 96 represents the path of the projectile, where x represents the amount of time in seconds. How long is the projectile in the air, in seconds?​

Answers

As this is when it hits the ground, the projectile is in the air for 6 seconds.

Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.

What is a projectile?

Objects that are thrown, shot, or launched with a certain initial velocity and then move against the forces of gravity and air resistance are known as projectiles. Projectiles can be anything from arrows and bullets to rocks and water balloons. Typically, a bow, slingshot, gun, or cannon is used to fire them. When projectiles are launched, gravity, air resistance, and other forces influence their trajectories.

from the question:

We must discover the moment the missile strikes the ground in order to calculate how long it was in the air. The height of the missile above the earth would be zero at that point.

Thus we must resolve the following equation:

y = -3x² - 12x + 96 = 0

We can use the quadratic formula to solve this equation in the quadratic form:

x = (-b ± √(b² - 4ac)) / 2a

where a = -3, b = -12, and c = 96.

Plugging in these values, we get:

x = (-(-12) ± √((-12)² - 4(-3)(96))) / 2(-3)

x = (12 ± √(144 + 1152)) / (-6)

x = (12 ± √1296) / (-6)

x = (12 ± 36) / (-6)

So, the solutions are:

x = -2 or x = 6

Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.

As a result, the missile is in the air for 6 seconds before it strikes the earth.

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How is solving a word problem similar to specific tasks you do at school, at home, or at a job? What types of addition problems might be necessary in the next job you expect to have? How can knowing how to problem solve in this way be helpful in the real world? Use the Text Editor to write at least 200 words answering these questions.

Answers

Answer:

Solving a word problem is similar to specific tasks we do in various areas of our lives, such as school, home, or job, in that it requires critical thinking, attention to detail, and logical reasoning. In school, we solve math problems to understand different concepts, and in our job, we solve various problems related to our work to improve efficiency and productivity. Similarly, in our personal lives, we encounter problems and challenges that require problem-solving skills.

Addition problems are crucial in almost every job. For example, in accounting, addition is necessary when calculating profit and loss or taxes. In the retail sector, addition is necessary when calculating inventory or the total amount of sales. Even in fields such as medicine, addition is necessary when calculating dosages and other related calculations.

Knowing how to problem solve in this way can be incredibly helpful in the real world. Being able to identify the problem, analyze it, and find a suitable solution can make us more effective and efficient in our personal and professional lives. The ability to solve problems can also help us develop critical thinking skills, which can be useful in various situations.

In conclusion, solving word problems is an essential skill that can be applied to various areas of our lives. Being proficient in addition problems is essential for success in most jobs. Developing problem-solving skills can make us more effective and efficient in our personal and professional lives, and critical thinking skills can help us analyze problems and identify the best solutions.

4.A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was of the whole pizza.
Which equation represents a way to find the total number of slices that were in the whole pizza?
A. 3.x=4
B. 4.x=
C. 3+x=4
D. x= 4.3

Answers

Based on the information, we can infer that the expression that tells us how many slices the entire pizza had is x = 4 * 3 (option D).

How to find the correct expression?

To find the correct expression we must take into account the information that the statement gives us:

Ben ate 4 slices.Ben ate 1/3 of the pizza.

Based on the above, if Ben ate 1/3 of the pizza, we must multiply 4 * 3 to find the total number of slices on the pizza.

x = 4 * 3x = 12

So the pizza had 12 slices. To check this result we can divide it by 3 to find out if 1/3 of 12 is equal to 4.

12 / 3 = 4

Note: This question is incomplete. Here is the complete information:

4. A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 1/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?

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Which of the following rational functions is graphed below?​

Answers

Answer: B

Step-by-step explanation: Expressions that include x within the denominator can be solved to find values that cannot be expressed within the domain of the graph. Because there are clear vertical asymptotes at x=1 and x=5, the graph is formed around these areas. The main difference between B and C is that in order for the answer to be C, the graph must pass through y=1, and the graph displayed does not represent that.

As x
approaches
As x approaches
As x approaches
-co, y approaches -co. As x approaches ∞o, y approaches co
co, y approaches 0. As x approaches -00, y approaches ∞
0, y approaches -co. As x approaches co, y approaches co

Answers

No: As x approaches -∞, y approaches -∞. As x approaches ∞, y approaches ∞.

YES: As x approaches ∞, y approaches 0. As x approaches -∞, y approaches ∞.

No: As x approaches 0, y approaches -∞. As x approaches ∞, y approaches ∞.

Explain about the domain and range of function?The range of values that we are permitted to enter into our function is known as that of the domain of function. The x values for a formula like make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.A function's domain and range are its constituent parts. The range of a function has been the set of all potential outputs, whereas the domain of a function has been the collection of each of the inputs.

Thus, correct options are-

No: As x approaches -∞, y approaches -∞. As x approaches ∞, y approaches ∞.

YES: As x approaches ∞, y approaches 0. As x approaches -∞, y approaches ∞.

No: As x approaches 0, y approaches -∞. As x approaches ∞, y approaches ∞.

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14. Kellen is taking a 17-question test that is worth 100 points. There are two types of questions,
multiple-choice questions and free response questions. If the multiple choice questions are worth
5 points each and the free response questions are worth 10 points each, write a system of equations
that can be used to determine the number of multiple choice questions, m, and the number of free
response questions, f? Find the total number of free response and multiple-choice questions.

Answers

Answer:

ehhhhhhhhhhh

Step-by-step explanation:

Help Plsss! I’ll give brainliest

Answers

the red one on top is “smaller”

measure the diameter of the tin which is 750 gram

Answers

The approximate diameter of the tin would be 12.9 centimeters.

What is diameter?

Diameter is a straight line passing through the center of a circle, or any other curved shape, and connecting two points on the circumference. It is the longest line that can be drawn within a circle and its length is twice the radius. It is also used in measuring the size of objects and distances in the universe. The term is also used in geometry to refer to the size or width of a triangle, square, or other shapes.

To measure the diameter of a tin which is 750 gram, one needs to use a ruler or measuring tape. First, one needs to weigh the tin using a scale or balance. Once the weight is known, it can be used to calculate the approximate diameter of the tin.

To find the diameter, one needs to use the formula: Diameter = 2 x (cube root of volume). The volume of the tin can be calculated by multiplying the weight of the tin (in grams) by 0.52.

Therefore, for a tin weighing 750 grams, the approximate volume would be 390 cubic centimeters. To find the diameter, one needs to take the cube root of 390, which is 6.47.

Therefore, the approximate diameter of the tin would be 12.9 centimeters.

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Here is summary information on the alcohol percentage
for a sample of 25 beers:
lower fourth ¼4:35 median ¼5 upper fourth ¼5:95
The bottom three are 3.20 (Heineken Premium
Light), 3.50 (Amstel light), 4.03 (Shiner Light)
and the top three are 7.50 (Terrapin All-American
Imperial Pilsner), 9.10 (Great Divide Hercules
Double IPA), 11.60 (Rogue Imperial Stout).
a. Are there any outliers in the sample? Any
extreme outliers?
b. Construct a boxplot that shows outliers, and
comment on any interesting features.

Answers

a. Rogue Imperial Stout (11.6) is an extreme outlier.

b. This suggests that there may be more beers with lower alcohol percentages in the sample than higher percentages.

How does math define a percentage?

When the denominator is 100, percentages are really just fractions. We place the percent symbol (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 out of 100 questions correctly on a test, you would have received a 75%.

According to the given information:

To determine if there are any outliers in the sample, we need to calculate the interquartile range (IQR), which is the difference between the upper quartile (Q3) and lower quartile (Q1).

IQR = Q3 - Q1

= 5.95 - 4.35

= 1.6

We then use the following rule to identify outliers:

Mild outliers: values that are less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR).

Extreme outliers: values that are less than Q1 - 3(IQR) or greater than Q3 + 3(IQR).

Using this rule, we have:

Mild outliers: None.

Extreme outliers: Rogue Imperial Stout (11.6) is an extreme outlier.

b. The boxplot below shows the distribution of alcohol percentage for the sample of 25 beers. The box represents the interquartile range (IQR), with the lower and upper whiskers extending to the smallest and largest values within 1.5 times the IQR from the lower and upper quartiles, respectively. Any values beyond the whiskers are considered outliers.

Another interesting feature of the boxplot is that the distribution appears slightly skewed to the right, with the median (5) closer to the lower quartile (4.35) than the upper quartile (5.95). This suggests that there may be more beers with lower alcohol percentages in the sample than higher percentages.

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Solve : select all answer that apply
|x/5| = 1

x=3
x= -1
x=-6
x= 5
x=-5

Answers

The correct solution for the given absolute function |x/5| = 1 is: x = 5 and x = -5.

Explain about the absolute function?

The variable inside this absolute value bars makes up an essential algebraic function known as the absolute value function.

This same absolute value function is likewise referred to as the modulus function, and its most popular representation is f(x) = |x|, wherein x is a real number. Such operations are frequently used to determine the separation between two points. Beyond a certain point, all of these functions change (becoming rising or decreasing).

The given function is-

|x/5| = 1

Solving the bars will give:

x/5 = 1 and x/5 = -1

So,

x = 5 and x = -5 are the solution of the absolute function.

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Find the equation of the line with slope 4/5 and y-intercept (0,−4).

Answers

Consequently, y = (4/5)x - 4 is the equation of the line with a slope of 4/5 and a y-intercept of (0,-4).

what is slope ?

Slope is a mathematical term that describes how steep a path is. It gives an explanation of the rate of rise or decline of the line as it moves horizontally along the x-axis. The percentage of the difference in the y-coordinate to the change in the x-coordinate at all between the two locations on a line is known as the slope of the line. In other terms, it is the line's "rise" over its "run". The letter "m" stands for slope, and the following formula is used to determine it:

m = (y2 - y1)/(x2 - x1) (x2 - x1)

given

In slope-intercept form, a line's equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Given that the y-intercept is (0, -4) and the slope is 4/5, we can enter these numbers into the slope-intercept form to obtain:

y = (4/5)x - 4

Consequently, y = (4/5)x - 4 is the equation of the line with a slope of 4/5 and a y-intercept of (0,-4).

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Solve the following 2x+18=42

Answers

Answer:

the solution to the equation 2x + 18 = 42 is x = 12.

Step-by-step explanation:

To solve for x in the equation 2x + 18 = 42, you can follow these steps:

Subtract 18 from both sides of the equation:

2x + 18 - 18 = 42 - 18

2x = 24

Divide both sides of the equation by 2:

2x/2 = 24/2

x = 12

Therefore, the solution to the equation 2x + 18 = 42 is x = 12.

Answer:

[tex] \sf \: x = 12[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2x + 18 = 42

Then the value of x will be,

→ 2x + 18 = 42

→ 2x = 42 - 18

→ 2x = 24

→ x = 24 ÷ 2

→ [ x = 12 ]

Hence, the value of x is 12.

Please help! 14 points, one right answer.

Answers

Answer:

C.  [tex]\frac{n+4}{2}[/tex]

Step-by-step explanation:

"the sum of a number (n) and 4" --> n + 4

"divided by 2" --> this means the whole expression will be divided by 2

Therefore, the final answer is the third option!

Hope this helps!! :)

What’s 4/9 /8? I’m having trouble with this problem because I wasn’t paying attention in class lol

Answers

Answer:

To divide by a fraction, we can multiply by its reciprocal.

So,

4/9 /8 = 4/9 x 1/8 = 4/72 = 1/18

This is my last one please help

Answers

Answer:

d

Step-by-step explanation:

How do I solve 1/6 + 3/4 - 2/3

Answers

[tex]\cfrac{1}{6}+\cfrac{3}{4}-\cfrac{2}{3}\implies \cfrac{(2)1~~ + ~~(3)3~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{2+9-8}{12}\implies \cfrac{3}{12}\implies \cfrac{1}{4}[/tex]

Solve by Completing the Square
Matalea created a rectangle where the length was eight more than the width. She then determined that the area of a rectangle could be found by using the function A(x)= x2+8x where x is the width of the rectangle. If the area of the rectangle is 33 in^2, what is the width of the rectangle?

Answers

The width of the rectangle is calculated as: 11 inches

How to use completing the square?

The formula for area of a rectangle is:

A = l*w.  

Since the area is 33 in², then;

33 = x(x + 8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  

x² + 8x - 33 = 0.

To complete the square you need to add 33 to both sides.  

Now you have x² + 8x = 33  

Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 4², so 16.  

Now you have x² + 8x + 16 = 49

(x + 4)² = 49

Take  the square root of both sides and you have;

x + 4 = 7.  

Therefore, x = 3 (the short side) and 11 is the long side.

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A rectangular field is 100 meters wide and 150 meters long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Answers

Answer:

perimeter of first ️

2(100+150) = 500 m

What is the sum of 9 16 9 16 and 5 16 5 16 ? A. 14 32 14 32 B. 10 16 10 16 C. 12 16 12 16 D. 14 16

Answers

Answer:

A

Step-by-step explanation:

Arrange the 4 set of numbers above each other and add the corresponding numbers.

9 and 5, 16 and 16, 9 and 5, 16 and 16

Answer:

the sum of 9 16 9 15 and 5 16 5 16 is 14 32 14 32 which is (A)

Step-by-step explanation:

9 16 9 16+

5 16 5 16

14 32 14 32

Translation: 4 left and 2 down

Answers

Answer: (2,0) = (-2,-2) (2,2) = (-2,0) (1,0) = (-3,-2) (0,2) = (-4,0)

Step-by-step explanation:

Suppose that prices increase 2.5% each year for 10 years. How much will a jacket that costs $100 today cost in 10 years? Hint: Think of the cost as the balance in a savings account with an APY of 2.5% and an initial investment of $100. (Enter your answer to the nearest dollar and do not include a dollar sign or decimal points in your answer.)

Answers

Answer:

Step-by-step explanation:

If the price of the jacket increases 2.5% each year for 10 years, we can think of the price increase as the interest earned on an initial investment of $100 with an annual percentage yield (APY) of 2.5%. We can use the formula for compound interest to calculate the future value of the investment after 10 years:

FV = PV x (1 + r)^n

where FV is the future value, PV is the present value (initial investment), r is the annual interest rate (as a decimal), and n is the number of compounding periods (years).

In this case, PV = $100, r = 0.025 (2.5% expressed as a decimal), and n = 10. Plugging these values into the formula, we get:

FV = $100 x (1 + 0.025)^10

FV ≈ $128

Therefore, the jacket that costs $100 today will cost approximately $128 in 10 years if the price increases 2.5% each year.

What would the hypotenuse have to be if the legs of a right triangle are 9 and 5?

Answers

Answer:

10.3

Step-by-step explanation:

Let's say

a leg = 9

b leg = 5

The formula to find the hypotenuse is [tex]\sqrt{a^{2}+b^{2} } = \sqrt{9^{2} +5^{2} } = \sqrt{81+25} = \sqrt{106} = 10.246\\[/tex]

Round [tex]10.246[/tex] to get [tex]10.3[/tex]

Adam needs to build a shed and he can only use triangular frames that form a right triangle for the corner walls. Which of the following dimensions for a triangular frame should Adam use?

25 in., 60 in., 65 in.

40 in., 44 in., 58 in.

50 in., 110 in., 130 in.

130 in., 50 in., 60 in.

Answers

The only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

What is a valid triangle?

A valid triangle is a three-sided polygon that satisfies the following conditions:

The sum of the lengths of any two sides of the triangle is greater than the length of the third side.

The lengths of all three sides of the triangle are greater than zero.

Adam should use the dimensions 40 in., 44 in., 58 in. for a triangular frame to form a right triangle.

To determine if a right triangle can be formed, we need to check if the Pythagorean theorem is satisfied, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side (the hypotenuse).

Let's check each set of dimensions:

For 25 in., 60 in., 65 in.:

25^2 + 60^2 = 625 + 3600 = 4225

65^2 = 4225

The Pythagorean theorem is satisfied, so a right triangle can be formed. However, this triangle is not a valid option for Adam because the lengths are too short for building walls.

For 40 in., 44 in., 58 in.:

40^2 + 44^2 = 1600 + 1936 = 3536

58^2 = 3364

The Pythagorean theorem is not satisfied, so a right triangle cannot be formed using these dimensions.

For 50 in., 110 in., 130 in.:

50^2 + 110^2 = 2500 + 12100 = 14600

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

For 130 in., 50 in., 60 in.:

50^2 + 60^2 = 2500 + 3600 = 6100

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

Out of the options given, only the dimensions 50 in., 110 in., 130 in. and 130 in., 50 in., 60 in. satisfy the Pythagorean theorem, but both are too large for building walls.

Therefore, the only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

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Pls help me find the surface are and volume

Answers

Let me solve it down for you :)

Surface area:

The shape is a cuboid, so its dimensions will be:

Length (L) = 12mBreadth (B) = 5m Height (H) = 10m

[tex] \sf \: Surface \: area \: of \: cuboid = 2(lb + bh + hl)[/tex]

[tex] \sf \: S.A. = 2(12 \times 5 + 5 \times 10 + 12 \times 10)[/tex]

[tex] \sf \: S.A. = 2(60+ 50 + 120)[/tex]

[tex] \sf \: S.A. = 2(230)[/tex]

[tex] \sf \: S.A. = 460 \: {m}^{2} [/tex]

Volume:

Dimensions of the cuboid:

Length (L) = 12mBreadth (B) = 5m Height (H) = 10m

[tex] \sf \: Volume = l \times b \times h[/tex]

[tex] \sf \: Volume = 12\times 5 \times 10[/tex]

[tex] \sf \: Volume = 600 \: {m}^{3} [/tex]

Convert m to cm, according to the question:

600 Cubic meter =

600,000,000 Cubic Centimeters

Simon has $315 to buy gifts for 5 people. Each gift costs $m, with a $4 packing fee per gift and a $10 shipping fee per order. The inequality 5(m+4) +10 $315. O No, because the total cost is $335, and $335 > $315. O Yes, because the total cost is $285, and $285 < $315. O Yes, because the total cost is $305, and $305 ≤ $315.​

Answers

The true statement of the inequality is (d) Yes, because the total cost is $305, and $305 ≤ $315.​

How to determine the true statement of the inequality

From the question, we have the following parameters that can be used in our computation:

Simon has $315 to buy gifts for 5 people. Each gift costs $m, with a $4 packing fee per gift $10 shipping fee per order. The inequality 5(m+4) +10 <= $315

The cost of each gift is $55

So, we have

5(55+4) +10 <= $315

When expanded, we have

305 <= $315

The above inequality is true

Hence, the solution is (d)

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When rounding to the nearest 10, which of the numbers below will round to 90? Select all that apply.

Answers

Therefore , the solution of the given problem of rational numbers comes out to be 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.

What exactly is rational numbers?

Any number that can be expressed as a ratio (not a portion) of two integers is considered rational. A reasonable fraction is one that has a nonzero denominator. 1/2, 1/5, but also 3/4 are a few examples of rational integers. "0" may additionally be expressed in a variety of forms as an actual function, like 0/1, 0/2, and 0/3. However, 1/0, 2/0, 3/0, etc. It makes logical that there are seven. When two parameters are divided, a rational number results.

Here,

We glance at the digit in the ones spot to round a number up to the nearest 10. In that case, we round down to the prior multiple of 10 if the digit is 0, 1, 2, 3, or 4. We round up to the following multiple of 10 if that number is 5, 6, 7, 8, or 9.

Finding numbers with a ones place digit between 5 and 9 will enable us to round to the closest 10 and arrive at 90. The figures that would round to 90 are as follows:

=>92

=> 95

As a result, 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.

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4.A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza.
Which equation represents a way to find the total number of slices that were in the whole pizza?
A. 2/3.x=4
B. 4.x=2/3
C. 2/3+x=4
D. x= 4.2/3

Answers

The equation that represent the whole slices is as follows:

2 / 3 x = 4 .

Therefore, the answer is A.

How to find the equation to represent an expression?

A pizza was cut into equal slices. Ben ate 4 of the slices.  The amount Ben ate was 2/3 of the whole pizza.

Therefore, the equation that represent a way to find the total number of slices that were in the whole pizza can be calculated as follows:

Let

x = amount of the whole pizza

Therefore,

2 / 3 x = 4

cross multiply

2x = 4(3)

2x = 12

x = 12  /2

x = 6

Therefore, the whole slice is 6.

Hence, the equation is 2 / 3 x = 4

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Are rhombuses also rectangle?? Explain

Answers

Answer:

No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.

On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.

Answer:

Rhombuses are not rectangles

Step-by-step explanation:

This is because rhombuses do not have 4 right angles.

A square would be a rectangle because its a quadrilateral with 4 right angles

while a rectangle wouldn't be a square because it doesn't have 4 equal sides

A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle

A social worker at a large high school wants to estimate the number of days students are absent. He randomly
selects 45 students and records the number of days each one is absent. The social worker constructs a 95%
confidence interval for the true mean number of days students at this school are absent. Which of the following
would decrease the margin of error?
O using a sample of size 30
O using a sample of size 40
constructing a 90% confidence interval
O constructing a 99% confidence interval

Answers

Answer:

The answer is C.)

Step-by-step explanation:

if 20% of 200 people know how to ski, how many people know how to ski

Answers

Answer:

200 x 20% = 200 x 20/100 = 40.

Answer is 40.

Other Questions
2. Write the advantages and disadvantages of fossil fuel in the table below. 27. For which values of k, if any, are u and v orthogonal? (a) u = (k. 1,3), v = (1,7,K) (b) u = (-2,k,k), v = (k. 5, k) 28. Use vectors to find the cosines of the interior angles of the triangle with vertices A(0,-1), B(1,-2), and C(4,1), 29. Use vectors to show that A(3, 0, 2), B(4,3,0), and C(8, 1.-1) are vertices of a right triangle. At which vertex is the right angle? 30. In each part determine whether the given number is a valid ISBN by computing its check digit. (a) 1-56592-170-7 (b) 0-471-05333-5 31. In each part determine whether the given number is a valid ISBN by computing its check digit. (a) 0-471-06368-1 (b) 0-13-947752-3 during John Marshalls term on the Supreme Court, federal and court power expanded. Write a paragraph contrasting these decisions with Thomas Jefferson stated views on the proper size and power of the federal government. What is the answer to this Find the missing degrees in the circle Use synthetic division an(d)/(o)r factoring to write f(x)=20x^(3)+44x^(2)-17x-5 in completely factored form, given that (-(5)/(2)) is a zero of f(x). If you put 10.0mL of a in one balance pan . How much mass of b would you need in the other pan to make it balanced A bank has the following assets and liabilities:Assets:$50,000 in loans$3,000 in required reserves $9,000 in excess reserves Liabilities:$60,000 in demand depositsBased on this data, what is the maximum amount of additional loans this bank could provide?a) $6,000b) $9,000c) $10,000d) $47,000e) $50,000 First, fold the paper in half the long way, so that the folded paper is just as long as it was before and half as wide. Line up the edges of the paper carefully when you fold it. Then run your fingernail along the folded side to make the edge sharp. Do that every time you make a fold."How to Make a Paper Airplane"Which signal words in the passage show you the order of steps? Check all that apply.FirstfoldLineThenalong i need helpp pp pp p Case study:Elliot, Chief Financial Officer of the U.K. Bank, spoke: "Look, we are facing a loss of GBP500 million, a deficit in the second year. If we outsource our call centre work to India, we can reduce our labour costs by at least one third. We have a moral responsibility to our shareholders to operate as efficiently as possible."Laura, HR Manager, responded: "Yes Elliot, and we have to be realistic. Why should our British jobs be shipped offshore to India? Our concern is with the welfare of our British workers. Why should our monies end up in the pockets of foreign workers?"Elliott snapped back, "For the very good reasons that the work will be done at much lower cost and with much higher quality results!"Laura smiled. "Elliot, wake up. You know how politically sensitive the banking industry is. Imagine what the press will do to us when this becomes public knowledge.""Yes", Jason interrupted, manager of retail banking. "Can you think how many politicians will be prepared to stand up and publicly declare that they are in favour of exporting British jobs? Outsourcing may be okay, where companies are not subject to the public and political pressures. Can you imagine the reaction of the finance sector unions and the politicians when we announce that the bank is going to do away with 8,000 jobs? And dont forget we now have UK Parliamentary general election very soon.""Okay, I take your point" said Elliot. "But given the size of our loss, we really have to face up to the alternatives cut services or increase fees. The whole aim of outsourcing is to maximize value by saving money and improving services. Surely that is what we are all about?"Question 1(a) Explain the term stakeholder.(b) Refer to the organization described in the case above. Identify and discuss the stakeholder groups and their interests.Total 25 marksQuestion 2(a) The management is considering offshoring. What is meant by offshoring? Discuss the pros and cons of offshoring in the case?(b) From the HR perspective, what HR challenges and issues would you anticipate in dealing with offshoring the call centre to India as reflected in the situation? Prove that any two consecutive terms in the Fibonacci sequenceare relatively prime. (The Fibonacci sequence is given by f1 = 1,f2 = 1, fn = fn2 + fn1.) Marcus found these three ordered pairs for the equation y = 52x + 150: (0, 150), (10,670), and (20,1190).When he graphs these, what is the best range for the y-axis?0 to 1500 to 6700 to 200 to 1190 On a piece of paper, graph this system of inequalities. Then determine whichregion contains the solution to the system.yx-2y-x-4OA. Region AB. Region BOC. Region COD. Region DAD108642-10-8-04-2 012-8-8-10N4''BCB10 The government created the Federal Deposit Insurance Corporation (FDIC): This question asks about what you read in the text Garbage Can Teach Us a Lot About Food Waste and the text Its Whats Outside that Counts.How do the authors of the texts differ in their representations of food waste research?A. The author of Garbage Can Teach Us a Lot About Food Waste focuses on how research can identify trends in food waste, and the author of Its Whats Outside that Counts emphasizes important findings to combat those waste trends.B. The author of Garbage Can Teach Us a Lot About Food Waste shares personal anecdotes from households associated with the NRDC research, and the author of Its Whats Outside that Counts relies on scientific evidence gathered from studies.C. The author of Garbage Can Teach Us a Lot About Food Waste believes the packaging industry has the most influence on food waste, but the author of Its Whats Outside that Counts emphasizes the significance of gathering data from large corporations in addition to average households.D. The author of Garbage Can Teach Us a Lot About Food Waste is more concerned about U.S. cities with large populations, but the author of Its Whats Outside that Counts reveals the urgency in studying more scarcely populated cities as well. Find the largest angle of A PAM if m = 22in, p = 16in, a = 9in. Round to the nearest hundredth. help plssssssssss 50 pts!!!! A pension fund manager is considering three mutual funds. Thefirst is a stock fund, the second is a long-term bond fund, and thethird is a money market fund that provides a safe return of 6%. Thech what is mean by author contract to prodect development?