Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1, 1) to create quadrilateral M'ATH: Select all the statements that are true about the dilation.
M'A' will overlap MA
The area of M'A'T'H' is equal to 2.5 times the area of MATH
ΜΑΣ Μ' Α'
AT' will overlap AT
The slope of HT is equal to the slope of HT
Answers
M' A'T" H' is (1,1) and (2.5) equals 3.6 to form a quadrilateral. A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.
What is meant by scale factor of quadrilateral?The scale factor is the ratio of one figure's side length to the other figure's corresponding side length.The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.The scale factor is the ratio of one figure's side length to the other figure's corresponding side length.A scale factor is the amount by which an object is multiplied to produce a second object of different size but with the same appearance. Just a larger or smaller version of the original is created, not an exact copy.Let the scale factor of quadrilateral is center at 2.5 at (1, 1) then
(1,1) and (2.5) equals 3.6
(1,1) + (2.5) = 3.6
Therefore, the statement exists true about the dilation is
D. [tex]\frac{}{A'T'}[/tex] will overlap [tex]\frac{}{AT}[/tex]
A. [tex]\frac{}{M'A'}[/tex] will overlap [tex]\frac{}{MA}[/tex]
E. The slope of [tex]\frac{}{HT}[/tex] is equal to the slope of [tex]\frac{}{H'T'}[/tex]
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Related Questions
helloo!! i need help figuring out the like terms in this list. thanks! :)
Answers
The like terms on the list are given as follows:
[tex]\sqrt{2}, -3\sqrt{2}, 5\sqrt{2}, \sqrt{50}[/tex]
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted.
In the case the terms are roots, they have the same root.
The square root of 50 is given as follows:
[tex]\sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]
Hence the like terms are given as follows:
[tex]\sqrt{2}, -3\sqrt{2}, 5\sqrt{2}, \sqrt{50}[/tex]
There are no terms with 3 or 5 on the root, hence the other two terms have no like terms.
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URGENT! I need to find the volume of the composite solid.
Answers
The volume of the composite solid is 885 m³
How to determine the volumeFrom the diagram shown, we have that;
Volume of the composite solid = Volume of a rectangle + volume of a pyramid
The formula for the volume of a rectangle is expressed as;
Volume = lwh
Given that;
L is the lengthw is the widthh is the height of the rectangleVolume = 5 × 10 × 16. 5
Volume = 825 m³
Volume of the pyramid = 6(10) = 60m³
Total volume = 825 + 60 = 885 m³
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Determine the number of triangles with the given parts.a=9,b=4,c=6There is/are triangle(s). (Type a whole number.)
Answers
Answer: 1.
There is only 1 triangle with the given parts a=9, b=4, c=6. This is because the lengths of the sides of a triangle are unique and determine the shape of the triangle.
To verify this, we can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, we can see that 9+4>6, 9+6>4, and 4+6>9, so the Triangle Inequality Theorem is satisfied and the triangle is valid.
Therefore, the answer is 1, as there is only 1 triangle with the given parts a=9, b=4, c=6.
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In a classroom,
1/10 of the students are wearing blue shirts , and 2/5 are wearing white shirts. There are 20 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts?
Answers
20 - 10 = 10 pupils are more probability to be wearing shirts other than blue or white.
What purposes does probability serve?Probability gives information about the likelihood that something will occur. For instance, weather patterns are used by meteorologists to predict the possibility of rain. Probability theory is utilised in epidemiology to comprehend the connection between exposures and the risk of health outcomes.
What is the probability fundamental rule?A AND B = P(B)P(A|B) if A and B are two events defined on a sample space. (The likelihood of A given B is equal to the likelihood of A and B divided by the likelihood of B.) P(A|B) = P if A and B are independent (A).
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Jan is researching the average annual income that people earn in her state based on the level of education they have received.
Based on the table, how much more would someone with a bachelor’s degree earn compared to someone with a high school diploma over a period of 30 years?
Answers
Step-by-step explanation:
well, we don't need to look for any fancy calculation tricks.
all we need to do is calculate the amounts in both cases and then calculate the difference.
bachelor's degree income in 30 years :
59,100×30 = $1,773,000
high school diploma income in 30 years :
35,250×30 = $1,057,500
the difference is
$1,773,000 - $1,057,500 = $715,500
a person with a bachelor's degree would earn
$715,500
more over a period of 30 years than a person with only a high school diploma.
this is not considering the changes of the income levels over the period of 30 years (that adds insult to injury ...).
3x - 3 = root^2 of 3x^2 + 177 What is the sum of all the solutions to the above equation? A - 11 B) -3
C) 3
D) 7
Answers
We start by isolating the square root on one side of the equation:
3x - 3 = sqrt(3x^2 + 177)
Squaring both sides of the equation gives:
(3x - 3)^2 = 3x^2 + 177
Expanding the left-hand side gives:
9x^2 - 18x + 9 = 3x^2 + 177
Simplifying gives:
6x^2 - 18x - 168 = 0
Dividing both sides by 6 gives:
x^2 - 3x - 28 = 0
We can now solve for x using the quadratic formula:
x = (3 ± sqrt(3^2 + 4128)) / 2
x = (3 ± 7) / 2
Therefore, the solutions are x = -2 and x = 5, and their sum is -2 + 5 = 3.
Thus, the answer is (C) 3.
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Question 4(Multiple Choice Worth 2 points)
(Volume of Cylinders MC)
What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14.
cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.6 feet and a height labeled 4.4 feet
23.35 cubic feet
35.92 cubic feet
71.84 cubic feet
93.4 cubic feet
Answers
The volume of the Cylinder is 24.11 cubic feet.
What is Volume?Volume refers to the amount of space occupied by a three-dimensional object, measured in cubic units.
The radius of the cylinder is half the diameter of the circular base, so:
r = 2.6/2 = 1.3 feet
The volume of the cylinder is given by:
V = πr²h
Substituting the values given:
V = 3.14 × 1.3² × 4.4 ≈ 24.11 cubic feet
Rounding to the nearest hundredth:
V ≈ 24.11 cubic feet
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A vector u and a set S are given. If possible, write u as a linear combination of the vectors in S. U = [3], S= {[1], [2], [-2}}
[8] {[2] [3] [-5]}
Answers
Therefore, one possible way to write vector u as a linear combination of the vectors in set S is:
u = [2] + [3]
To write vector u as a linear combination of the vectors in set S, we need to find scalars a, b, and c such that:
u = a[1] + b[2] + c[-2]
Substituting the given values of u and the vectors in S, we get:
[3] = a[1] + b[2] + c[-2]
To solve for the scalars a, b, and c, we can set up a system of equations:
3 = a + 2b - 2c
Since we only have one equation and three unknowns, there are infinitely many solutions to this system. One possible solution is:
a = 1, b = 1, c = 0
Substituting these values back into the equation, we get:
[3] = 1[1] + 1[2] + 0[-2]
Therefore, one possible way to write vector u as a linear combination of the vectors in set S is:
u = [1] + [2]
Similarly, for the second set of vectors, we need to find scalars d, e, and f such that:
u = d[2] + e[3] + f[-5]
Substituting the given values of u and the vectors in S, we get:
[8] = d[2] + e[3] + f[-5]
To solve for the scalars d, e, and f, we can set up a system of equations:
8 = 2d + 3e - 5f
Since we only have one equation and three unknowns, there are infinitely many solutions to this system. One possible solution is:
d = 2, e = 2, f = 0
Substituting these values back into the equation, we get:
[8] = 2[2] + 2[3] + 0[-5]
Therefore, one possible way to write vector u as a linear combination of the vectors in set S is:
u = [2] + [3]
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Find a4. a₁ = −1 an = 7an - 1 Write your answer as an integer or fraction in simplest form. a4 =
Answers
The fourth term a₄ of the sequence is -343
How to determine the value of a₄?From the question, we have the following parameters that can be used in our computation:
a₁= -1
aₙ = 7aₙ₋₁
The above definitions imply that we simply multiply 7 to the previous term to get the current term
Using the above as a guide,
so, we have the following representation
a₂ = 7 * -1
a₂ = -7
Also, we have
a₃ = -7 * 7
a₃ = -49
Lastly, we have
a₄ = -49 * 7
Evaluate the equation
a₄ = -343
Hence, the value of a₄ is -343
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geoff is investigation fractions of the form (1)/(n), where n is an interger from 2 up to and including 20. How many of these fractions are equivalent to terminating decimals
Answers
The final answer are 7 fractions of the form (1)/(n), where n is an integer from 2 up to and including 20, that are equivalent to terminating decimals.
Geoff is investigating fractions of the form (1)/(n), where n is an integer from 2 up to and including 20. To find out how many of these fractions are equivalent to terminating decimals, we need to understand what makes a fraction equivalent to a terminating decimal.
A fraction is equivalent to a terminating decimal if the denominator (the bottom number) is a power of 10 (10, 100, 1000, etc.), or if it can be reduced to a fraction with a denominator that is a power of 10. In other words, the denominator must only have factors of 2 and/or 5.
So, we need to find out how many of the numbers from 2 to 20 have only factors of 2 and/or 5.
These numbers are:
- 2 (2^1)
- 4 (2^2)
- 5 (5^1)
- 8 (2^3)
- 10 (2^1 * 5^1)
- 16 (2^4)
- 20 (2^2 * 5^1)
Therefore, there are 7 fractions of the form (1)/(n), where n is an integer from 2 up to and including 20, that are equivalent to terminating decimals.
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I really need help, this is due tomorrow
Answers
Answer:
Your answer:
6. x = 8
8. x = 3
Step-by-step explanation:
Basic calculation involving adding/subtracting and multiplying and dividing.
Formula for Area of a Rectangle:
Area = Length * Width.
6. Given information
A = 165 cm^2
length = 4x + 1
width = 5
(4x + 1) * 5 = 165 cm^2
5 * (4x + 1)= 165
20x + 5 = 165
20x = 160
x = 8
8. Given information
A = 40 cm^2
length = 7x - 1
width = 2
(7x - 1) * 2 = 40 cm^2
2 * (7x - 1)= 40
14x - 2 = 40
14x = 42
x = 3
What is the area of the unshaded part of the following composite figure? Round your answer to the nearest tenth. NEED THE ANSWER ASAP.
Answers
Answer:
60m^2
Step-by-step explanation:
15.1×10.3=155.53
155.53÷2=77.765
2.8×6.5=18.2
77.765-18.2= 59.565
rounded to nearest 10th = 60m^2
Which statement is an example of the transitive property of congruence?
A. if KLM= PQR and PQR= STU , then KLM=STU
B. If KLM= PQR, then PQR= STU.
C. If KLM= PQR, then PQR= KLM.
D. KLM=KLM
Answers
Option A → If KLM ≅ PQR and PQR ≅ STU , then KLM ≅ STU, is the correct answer for the transitive property of congruence.
What is congruency?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given is to write the transitive property of congruence.
Transitive Property of Congruence →The transitive property of congruence states that “ if two shapes are congruent to the third shape, then all the shapes are congruent to each other. So, we can conclude that option A is the correct answer.
Therefore, Option A → If KLM ≅ PQR and PQR ≅ STU , then KLM ≅ STU, is the correct answer for the transitive property of congruence.
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19 minus twice a number is less than or equal to 10
Answers
The mathematical expression for the given statement is:
[tex]$19 - 2x \leq 10$[/tex]
What is expression ?In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /) that represents a value or a calculation. It can contain variables, which are placeholders for unknown or changing values, and can be simplified or evaluated using mathematical rules and operations. Examples of expressions include 3x + 5, (a + b) / 2, and √(16 - 3y).
According to given information :The mathematical expression for the given statement is:
[tex]$19 - 2x \leq 10$[/tex]
where x is the unknown number.
Therefore, the mathematical expression for the given statement is:
[tex]$19 - 2x \leq 10$[/tex]
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#17 F4
An electric car battery, when fully charged, can travel 410 miles. As the car travels, the charge decreases at a rate of 46 miles every 2 hours.
Enter an equation in slope-intercept form or y = mx + b that shows the amount of battery charge y, in miles, after traveling for x hours.
Answers
Using the slope-intercept form, the equation that represents the amount of battery charge y, in miles, after traveling for x hours is: y = -23x + 410
What is equation of straight line?Equation of straight line can be defined as y = mx+b where m is slope of a line.
To create the equation in slope-intercept form, we need to find the slope and y-intercept.
The slope represents the rate at which the battery charge decreases, which is 46 miles every 2 hours. This can be expressed as:
slope = -23 miles/hour
The negative sign indicates that the battery charge decreases over time.
The y-intercept represents the initial battery charge when the car is fully charged, which is 410 miles.
Using the slope-intercept form, the equation that represents the amount of battery charge y, in miles, after traveling for x hours is: y = -23x + 410
where x is the number of hours the car has been traveling and y is the remaining battery charge in miles.
Therefore, Using the slope-intercept form, the equation that represents the amount of battery charge y, in miles, after traveling for x hours is:
y = -23x + 410
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The graph shows the amount of water in a sink after several minutes.
Which function represents this situation?
A. y = -2x + 5
B. y = -3/2x + 5
C. y = -2/3x + 5
D. y = 2/3x + 5
Answers
The correct answer is B. The graph shows the amount of water in a sink after several minutes, so it is a decreasing function.
What is graph?Graph is a mathematical structure used to represent connections or relationships between objects. It consists of nodes, which are connected by edges. Graphs are used in computer science and other fields to represent networks of communication, data organization, computational devices, the flow of computation, and other objects. Graphs are also used to represent the abstract connections between objects in a more visual way. Graph theory is the study of graphs and their properties.
Option B, y = -3/2x + 5, is a linear function with a negative slope, which is the correct representation for this situation. This equation can be used to find the amount of water in the sink after any given number of minutes.
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pls show simple working out
Answers
Step-by-step explanation:
the angles which occupy the same relative position at each intersection where a straight line crosses two others, are called corresponding angles. If the two lines are parallel, the corresponding angles are equal.
two angles, not adjoining one another, that are formed on opposite sides of a line that intersects two other lines, are called alternate angles. If the original two lines are parallel, the alternate angles are equal.
since we are only dealing with parallel lines here, the angles are always equal.
a)
a = 60°, alternate
b)
a = 75°, corresponding
c)
a = 108°, corresponding
12. Use the diagram below to solve for x.
(MGSE9-12.G.C.2)
в
362
A
a. 115°
b. 50.5°
65
X
D
c. 94°
d. 324
Answers
Answer:
c.
Step-by-step explanation:
the inner angle is half of the sum of both outer angles.
65 = 1/2 × (36 + x)
130 = 36 + x
x = 130 - 36 = 94°
Please help me with this, I didn’t get it in class.
Answers
If there is a rectanglure pyramid that is 8 units tall, 12 units long, and 10 units wide, how big is it
Answers
The size or volume of the rectangular pyramid hat is 8 units tall, 12 units long, and 10 units wide is 320 cubic units.
To find the size of a rectangular pyramid, we need to find its volume. The formula for the volume of a rectangular pyramid is given:
Volume = (1/3) x base area x height
Here, the height of the pyramid is 8 units. The base is a rectangle with a length of 12 units and a width of 10 units. Therefore, the area of the base is:
Base area = length x width = 12 x 10 = 120 square units
Now we can substitute the values in the formula for volume:
Volume = (1/3) x base area x height
= (1/3) x 120 x 8
= 320 cubic units.
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In order to make a profit, a store will sell items at a markup from their wholesale price. After markup, the price of a pair of pants is $33.60. If the price of the pants after markup is 140% of the wholesale price, which equations represent, w , the price before markup?
Select all that apply.
A
33.60=1.40w
B
1.40=33.60w
C
33.60+1.40=w
D
33.60−1.40=w
E
w(1+0.40)=33.60
F
33.60=1.40(w+1)
Answers
The equation represents the 33.60+1.40=w that a shop will use to determine the markup from its wholesale price.
What sort of equation would that be?The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What about the equation's meaning?A mathematical equation is a statement that two numbers or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account together in order to comprehend or describe the whole situation, this is known as an equation.
Let w be the wholesale price, then the price after markup is:
w + 140%
[tex]w=w+1.4w=2.4w[/tex]
we know price after markup is $[tex]33.60[/tex]
2.4w = $33.60
we can solve w
w = $33.60 / 2.4 = $14.00
So the wholesale price before markup is $14.00.
The equation represents the 33.60+1.40=w
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how to calculate 8+3(5-7)
Answers
Answer:
How to calculate 8 + 3(5 - 7)
Use Pemdas
Pemdas
8 + 3(5 - 7)
5 - 7
= -2
8 + 3 ⋅ -2
Pemdas
8 + 3 ⋅ -2
3 x -2
= -6
8 + -6
Pemdas
8 + -6
= 28 + 3(5 - 7) = 2Step-by-step explanation:
You're welcome.
Answer:
8+3(5-7)=-2
You will use the"Bracket Of Division Multiplication Addition and Subtraction(BODMAS)" method. Hence solve the one in the bracket first. So it's going to be 5-7 which is -2.Then you continue with the multiplication of 3 by the -2 you got making -6. Finally add the 8 to the -6 making 2.
True or false? a. A 95% confidence interval for the odds ratio between MI (yes, no) and treatment (placebo, aspirin) is (1.44, 2.33). If we form the table with aspirin in the first row (instead of placebo), the confidence interval is (1/2.33, 1/1.44) = (0.43, 0.69). b. A survey of college students analyzes the association between opinion about whether it should be legal to (1) use marijuana, (2) drink alcohol if you are 18 years old. We may get a different odds ratio value if we treat marijuana use as the response variable than if we treat alcohol use as the response variable. c. Interchanging two rows or interchanging two columns in a contingency table has no effect on the value of the X? or G-chi-squared statistics. Thus, these tests treat both the rows and the columns of the contingency table as nominal scale, and if either or both variables are ordinal, the test ignores that information. d. Suppose that income (high, low) and gender are conditionally independent, given the type of job (secretarial, construction, service, professional, ...). Then, income and gender are also independent in the 2 x 2 marginal table. e. According to the Pew Research Center (www.people-press.org), when adults in the US were asked in 2010 whether there is solid evidence that the average temperature on Earth has been getting warmer over the past few decades, the esti- mated odds of a yes response for a Democrat was 2.96 times higher than for an Independent, and it was 2.08 times higher for an Independent than for a Repub- lican. The estimated odds ratio between opinion on global warming and whether one is a Democrat or a Republican equals 2.96 x 2.08 = 6.2.
Answers
a. False. If we form the table with aspirin in the first row (instead of placebo), the confidence interval is (1/2.33, 1/1.44) = (0.43, 0.69).
b. True. We may get a different odds ratio value if we treat marijuana use as the response variable than if we treat alcohol use as the response variable.
c. False. Interchanging two rows or interchanging two columns in a contingency table does have an effect on the value of the X2 or G-chi-squared statistics. Thus, these tests treat both the rows and the columns of the contingency table as nominal scale, and if either or both variables are ordinal, the test takes that information into account.
d. False. Income and gender are not necessarily independent in the 2 x 2 marginal table, even if they are conditionally independent given the type of job.
e. False. The estimated odds ratio between opinion on global warming and whether one is a Democrat or a Republican does not equal 2.96 x 2.08 = 6.2, it equals (2.96/2.08) = 1.42.
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What is 45 divided by 6 3/4
Answers
Answer:
First, we need to convert the mixed number to an improper fraction:
6 3/4 = (4 x 6 + 3)/4 = 27/4
Now we can divide:
45 ÷ 27/4 = 45 x 4/27 = 6.6666666...
Rounding to the nearest hundredth, we get:
6.67
Therefore, 45 divided by 6 3/4 is approximately 6.67.
Answer:6.67
Step-by-step explanation:
Question 2 (1 point)
What is the value of the following
Answers
The value of the expression 7₂ + 3₃ is 10₅.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
An expression is 7₂ + 3₃.
To find the value of the expression, first, add 7 and 3.
That means, 7 + 3 = 10.
Now add 2 and 3,
2 +3 = 5
So, the value of the expression is 10₅.
Therefore, the result is 10₅.
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Solve for the unknown. Round decimals to hundredths and percents to the nearest tenth. 950 increased by 40% =
Answers
Answer: We can start by translating the given sentence into an equation:
950 + 0.40(950) = x
where x is the unknown amount after the 40% increase.
To solve for x, we can simplify the right-hand side of the equation:
950 + 0.40(950) = x
950 + 380 = x
1330 = x
Therefore, the unknown amount after the 40% increase is 1330.
Rounding 1330 to the nearest tenth gives 1330.0, and converting to a percent gives 133000%.
Step-by-step explanation:
Find the 12th term of the geometric sequence 9, - 18, 36, .
Answers
The 12th term of the geometric sequence 9, - 18, 36, is 18,432.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁
Common ratio, r = -18/9
Common ratio, r = -2
For the 12th term, we have:
a₁₂ = 9(2)¹²⁻¹
a₁₂ = 18,432.
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−52 < 2 (3x -2) answers -10 -6 -8 -9
Answers
The value of the inequality for the expression is: x > -8
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
To solve the inequality, we need to isolate the variable, x.
We begin by simplifying the expression inside the parentheses:
2(3x - 2) = 6x - 4
Now we can substitute this expression into the original inequality:
-52 < 6x - 4
Add 4 to both sides:
-48 < 6x
Divide both sides by 6:
-8 < x
So the solution to the inequality is x > -8.
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In the game between Alphas and Betas the points of Alphas in the score
were in ratio 20 : 100 to the sum of points of both teams when Alex
substituted Appolo. Alex instantly scored his first point after that made
an uninterrupted sequence of hits before his reverse substitution. When
he was leaving the ground the ratio of the score of Alphas to all the
scored point in the game was 50 : 100. What ratio of all the points scored
up to that moment were Alex hits?
Answers
The ratio of all points scored up to the moment when Alex left the ground was 25 : 100. This means that out of all the points scored, 25% were Alex's hits.
What is ratio?Ratio is a comparison between two or more numbers. It is usually expressed in the form of a fraction, with the numerator being the first number and the denominator being the second number. Ratios can also be expressed in terms of a percentage or a proportion. Ratios help to compare two or more values and can be used to indicate relationships between different parts of a system. For example, if the ratio of apples to oranges is 2:3, then for every two apples, there are three oranges.
The reason for this is that when Alex entered the game, Alphas had a score of 20 points out of a total of 120 points. After his reverse substitution, Alphas had a score of 50 points out of a total of 100 points. This means that Alex scored 30 points in total during his time in the game. Therefore, the ratio of Alex's hits to the total points scored is 30 : 100, or 25%.
This shows the impressive contribution that Alex made in the game. Despite playing for a relatively short period of time, he was able to score a quarter of all the points in the game. This highlights Alex's skill and shows what a difference an individual player can make in a team sport.
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Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Answers
The measure of angle A is 85^o.
What is a quadrilateral?A quadrilateral is any form of plane figure which is bounded by four straight sides. Examples include: square, rhombus, rectangle trapezium etc. Each example of quadrilateral has differentiating properties.
The given quadrilateral ABCD inscribed in the circle has the shape of a rhombus. So we have:
the measure of opposite internal angles of a rhombus are congruent, so that;
x + (2x + 1) + 148 + (2x + 1) = 360
5x + 150 = 360
5x = 360 - 150
5x = 210
x = 210/ 5
= 42
x = 42^o
Thus measure of angle A = (2x + 1)
= 2*42 + 1
= 85^o
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