Answers
The measure of x from the angles of the parallel lines are solved
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the figure be represented as A
Now , let the missing angle be represented as x
a)
Let the figure be A
Now , the measure of m∠x = 125° ( corresponding angles )
So , the measure of angle x = 125°
b)
Let the figure be A
Now , the measure of m∠x = 57° ( alternate interior angles )
So , the measure of angle x = 57°
c)
Let the figure be A
Now , the measure of m∠x = 70° ( Vertically opposite angles are same )
So , the measure of angle x = 70°
d)
Let the figure be A
Now , the measure of m∠x = 180° - 105°( co interior angles add up to 180° )
So , the measure of angle x = 75°
e)
Let the figure be A
Now , the measure of m∠x = 180° - 53°( co interior angles add up to 180° )
So , the measure of angle x = 127°
f)
Let the figure be A
Now , the measure of m∠x = 180° - 133° ( corresponding angles )
So , the measure of angle x = 47°
Hence , the measures of angles are solved
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Related Questions
James and Kaitlin are each factoring the trinomials shown. Which factor do their trinomials have in common?
Answers
The common factor of the trinomials x² - 7x - 18 and x² + 14x + 24 is (x + 2).
How to factor trinomial?The above polynomials are trinomials. A trinomial is a polynomial with three terms. Let's factor the trinomials and find what they have in common.
Hence,
James factors x² - 7x - 18.
x² - 7x - 18
x² + 2x - 9x - 18
x(x + 2) - 9(x + 2)
(x - 9)(x + 2)
Kaitlin factors x² + 14x + 24.
Hence,
x² + 14x + 24
x² + 2x + 12x + 24
x(x + 2)+ 12(x + 2)
(x +2)(x + 12)
Therefore, the common factor is (x + 2)
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10 workers can complete a piece of work in 18 days. How many workers are required to complete the work in 12 days?
Answers
The number of workers required = 15
Finding the number of workers:Observe the given problem and find out the relation between the number of workers and the number of days.
In given two one quantity decreased and the other quantity increased then both quantities are said to be in inverse proportions.
Here the product of two quantities will equal a constant.
Here we have
10 workers can complete a piece of work in 18 days
Let 'x' be the number of workers required to complete work in 12 days
Here when the number of days increases the number of workers will be decreased which shows the number of work is inversely proportional to the number of days
The relation can be represented as
=> 10 worker × 18 days = 12 days × x workers
=> 10 × 18 = 12x
=> x = 180/12
=> x = 15
Therefore,
The number of workers required = 15
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Problem 3
(x + 2)² + (y-2)² = 4
States the center and the radius of this problem and then graph the circle
Answers
The center of this circle is (-2,2) and its radius is 2.
It is required to find the center and radius of the circle.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Given that: (x + 2)² + (y-2)² = 4
The equation of a circle in standard form is:
(x -a)² + (y-b)² = r²
The x-coordinate of the center is a the y-coordinate of the center is b
, and r is the radius.
In this case,
a=-2
b=2
and
r=2.
Hence, the center of this circle is (-2,2) and its radius is 2.
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Terry takes a 800 mg Tylenol for his headache. Every hour that the Tylenol is in his system, a quarter of the medication dissolves in his body.
1. WRITE a function that models the amount of Tylenol in Terry’s body over time. Use x for hours, and y for the amount of Tylenol, in mg, remaining in the body.
2. When there is less than 100mg of medicine left in the body, it safe to take it again. HOW LONG will it take before Terry can take more medicine?
Answers
Therefοre, the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be Terry can easily take anοther 800mg Tylenοl fοr his headache after abοut 2.4 hοurs have passed.
What is functiοn?The curriculum fοr mathematics includes a wide range οf tοpics, such as numbers, numbers, and their cοmpοnents, as well as cοnstructiοn, building, and bοth actual and hypοthetical geοgraphic places. A wοrk discusses the relatiοnships between different variables that all wοrk tοgether tο prοduce the same result. A utility is made up οf a variety οf distinctive cοmpοnents that, when cοmbined, prοduce specific results fοr each input.
Here,
The functiοn can be written as fοllοws:
=> y = 800 * (0.25)ˣ
where y is the quantity οf Tylenοl still in Terry's system in milligrammes and x is the number οf hοurs since he last tοοk the medicatiοn.
When Terry's bοdy's cοncentratiοn οf Tylenοl gοes belοw 100mg, we need tο find οut hοw lοng it will be befοre he can take mοre medicatiοn.
The expοnential decay fοrmula frοm part 1 can be used tο find a sοlutiοn fοr this:
=> 800 * (0.25)ˣ = 100
by 800, divide bοth sides.
=> (0.25)ˣ = 0.125
Cοnsider the twο sides' lοgarithms:
=> lοg(0.25) * x = lοg (0.125)
tο find x:
=> lοg(0.125) / lοg (0.25)
=> x = 2.4
Terry can easily take anοther 800mg Tylenοl fοr his headache after abοut 2.4 hοurs have passed.
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80% of the class is on a field trip with 4 chaperones. If there were 28 students and chaperones, how many students would be there?
QUICK!!!!!
Answers
The number of students who would be there are 24 students .
How to find the number of students ?The number of both students and chaperones on the trip are 28 in number. Again , this is both the chaperones and the students .
There are 4 chaperones according to the question . So to find the number of students on the field trip, the formula would be :
= Total number of both students and chaperones - Total number of chaperones
= 28 - 4
= 24 students
The number of students who would be on the field trip is 24 students .
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In the equation - cd which of the four letters a, b, c or d cannot be zero, in- order that the equation is NOT undefined?
Answers
The equation -cd is always defined, regardless of the values of the variables c and d.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We are given that;
The equation cd
Now,
The equation -cd is always defined, regardless of the values of the variables c and d.
The expression -cd represents the product of two numbers, -c and d. Multiplication is a well-defined operation for all real numbers, including zero. so, neither c nor d need to be non-zero for the expression to be defined.
Therefore, the equation -cd is defined for all values of a, b, c, and d, including zero
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7 men build a house in 300 days how many men .working in the same rate can build the house in 70 days
Answers
Answer:
30 men
Step-by-step explanation:
7 men x 300 days = 2100 man-days to build 1 house)
(2100 man-days/house) x (1 house/70 days) = 30 men
A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $50.
If they offer a 2-year extended warranty for $7, what is the company's expected value of each warranty sold? Round your answer to the nearest cent.
Answers
Answer:
The expected value of each warranty sold is $23.8.
O Which point has the coordinates (-3.5, 4)? Point W Point Y Point X Point Z
Answers
The point which has the coordinates (-3.5, 4) is point Z.
What are Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given coordinate is (-3.5, 4).
This means that the point is at a distance of 3.5 to the left of the origin and at a distance of 4 units above the origin.
So in order to find the point, mark the point -3.5 in the exact middle of -3 and -4 on the X axis.
Mark the point 4 on the Y axis.
Draw perpendicular lines from both.
Intersecting point is the given point.
Here point Z indicates this.
Hence point Z indicates the coordinates (-3.5, 4).
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Your question lacks the graph showing the points and coordinates. The graph is given below.
On an analog clock, the hour hand rotates 30 degrees as the second hand rotates 21,600 degrees. Which equation correctly relates the variables defined below?
h: angular motion of the hour hand, in degrees
s: angular motion of the second hand, in degrees
A. s = 648h
B. s = 720h
C. s = 3,600h
D. s = 4,320
Answers
The angular motion of the second hand is 720 h , we also have to know the meaning of angular motion.
What is Angular Motion?The body moving along the curved path at a constant angular velocity can be used to describe the angular motion.
As there are 12 hours on a clock, every hour means 360/12 = 30° rotation for the hour hand.
so, for each hour the second hand moves 21600°.
that means 21600/360 = 60 full rotations.
that means one rotation of the second hand is 1 minute.
so, the second hand is truly a second hand (counting the seconds).
60 seconds in a minute (a full rotation by the second hand), that means each second corresponds to 360/60 = 6° rotation of the second hand.
[tex]the \ ratio \ is\ \frac{30}{21600} = \frac{3}{2160} = \frac{1}{720}[/tex]
that means for every degree the hour hand moves, the second hand does 2 full rotations (2×360°).
h = s×30/21600 = s/720
s = 720 h.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + y² = 36 and (x + 6)² + y² = 36.
Which equations represent circles?The radius of a circle having a diameter of 12 units is 6 units. The center's x-coordinate is zero if its centre is on the y-axis.
To discover which equations describe circles with these characteristics, we may use the conventional version of the equation of a circle, (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's centre and r is its radius.
When we enter h = 0 and r = 6, we obtain:
(x - 0)² + (y - k) (y - k)² = 6²\sx² + (y - k) (y - k)² = 36
As we are aware that the centre is on the y-axis, the center's y-coordinate is also 0. K thus equals 0.
With k = 0, we obtain:
x² + y² = 36\s(x - 4) (x - 4)² + y² = 36\s(x + 6)² + y² = 36
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I plan to deposit their annual profits in an investment account earning a 9% annual return. If the owner starts with their first deposit today for $22,000 and expects to make the same profit for the next 7 years, how much will be saved for retirement at that point?
Answers
Answer: We can use the formula for future value of an annuity to calculate how much will be saved for retirement:
FV = Pmt x (((1 + r)^n - 1) / r)
where:
FV is the future value of the annuity
Pmt is the payment made each period (in this case, the annual profit of $22,000)
r is the annual interest rate (9% or 0.09 as a decimal)
n is the number of periods (7 years)
Substituting the given values into the formula, we get:
FV = $22,000 x (((1 + 0.09)^7 - 1) / 0.09)
FV = $22,000 x (1.9904 / 0.09)
FV = $22,000 x 22.116
FV = $485,552
Therefore, the amount saved for retirement after 7 years will be $485,552.
Step-by-step explanation:
The cost of 3 scarves is $86.25. What is the unit price?
Answers
In linear equation, $28.75 is the unit price .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
The cost of 3 scarves is $86.25
then,
the unit price is = $86.25/3 = $28.75
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Leonard is making a window in a wall that is shaped like a parallelogram.
What is the area of the window?
80 in²
96 in²
108 in²
512 in²
Answers
Answer:
96in²
Step-by-step explanation:
64+((4*8/2)*2)=96in²
Answer this in this hour or no points.
A spinner has 3 equal sections colored blue, orange, and red. Determine the sample space for spinning the spinner two times.
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Blue Red
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Orange Blue
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Orange Blue
Orange Red
Orange Orange
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Spin 1 Spin 2
Blue Orange
Blue Red
Red Blue
Red Orange
Orange Blue
Orange Red
Answers
If the spinner is spinning two times then the sample space becomes { BB,B0,BR,OB,OO,OR,RB,RO,RR}.
What is sample space?In probability a sample space is a set of possible number of outcomes of a random experiment.
A spinner has three equal sections blue(B), orange(O), red(R).
The sample space will be
Spin 1 Spin 2
Blue Orange
Blue Red
Blue Blue
Red Blue
Red Orange
Red Red
Orange Blue
Orange Red
Orange Orange
Hence, If the spinner is spinning two times then the sample space becomes { BB, B0, BR, OB, OO, OR, RB, RO, RR}.
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Write 4 3/20 as a decimal
Answers
Answer:
4.15 or
Step-by-step explanation:
100/20=5 times 3 is 15
so its 4.15 which equals 4 3/20
Given the following table with selected values of f (x) and g(x), evaluate f (g(2)).
x –5 –4 –1 2 4 7
f (x) 0 2 7 –1 –6 –4
g(x) –8 –1 2 4 7 1
–4
2
4
–6
Answers
Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.
What is value?Value is the worth of something, based on its importance, usefulness, or desirability. It is something that has a desired quality, such as excellence, utility, or desirability. Value can be physical, such as a commodity, or intangible, such as respect, loyalty, or knowledge. Value is determined by both the individual and the society in which they live. Value can be assigned to both tangible and intangible things, such as a house, an education, or a friendship. Value is a subjective measure and can vary greatly from person to person.
The answer is -6. To evaluate f (g(2)), we need to determine what g(2) is first. Looking at the table, we can see that g(2) is 4. Therefore, we need to find the value of f(4). Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.
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Can you answer the question? TKSSS
Answers
Answer:
[tex]\frac{7}{2}[/tex] π
Step-by-step explanation:
To find the arc length of the partial circle, you have to find a fourth of the circumference
C = [tex]\frac{1}{4}[/tex] πd - Formula
C = [tex]\frac{1}{4}[/tex] 14π - Plug in values
C = [tex]\frac{14}{4}[/tex] π - Simplify/Solve
C = [tex]\frac{7}{2}[/tex] π
−
4
1
Choose 3 answers:
Choose 3 answers:
(Choice A)
−
1
−1minus, 1
A
−
1
−1minus, 1
(Choice B)
0
00
B
0
00
(Choice C)
−
3
4
−
4
3
minus, start fraction, 3, divided by, 4, end fraction
C
−
3
4
−
4
3
minus, start fraction, 3, divided by, 4, end fraction
(Choice D)
1
11
D
1
11
(Choice E)
1
1
4
1
4
1
1, start fraction, 1, divided by, 4, end fraction
E
1
1
4
1
4
1
Answers
The three fraction are:
A) -1/2 and 1/2
C) -3/4 and 4/3
E) 1/4
What is expression?
One or more variables or numbers are combined with one additional action to form an expression.
To answer this question, we need to evaluate the given expression:
-1/4
This is a fraction with a negative numerator and a positive denominator. It represents a number that is less than zero, but closer to zero than to negative one.
To choose three answers from the options provided, we need to look for fractions and numbers that are close in value to -1/4.
Here are three possible answers:
Choice A: -1/2 and 1/2. These are fractions that are larger in magnitude than -1/4 and represent numbers that are further away from zero.Choice C: -3/4 and 4/3. These are fractions that are larger in magnitude than -1/4 and represent numbers that are further away from zero.Choice E: 1/4. This is a fraction that is smaller in magnitude than -1/4 and represents a number that is closer to zero.Therefore, the three answers are:
A) -1/2 and 1/2
C) -3/4 and 4/3
E) 1/4
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a salesman allows a discount of 125% for each payment.calculate the actual amount the salesman pay for an article with a marked price of n950.00
Answers
The actual amount the salesman pays for an article with a marked price of N950.00 is N2,312.50.
What is amount?Amount is a word used to refer to a quantity or amount of something. It can also be used to refer to the total sum of money, goods, or services due for payment or exchange. It can also refer to the balance of money or goods due for payment or exchange. Amount is also used to refer to the size, extent, or magnitude of something.
To calculate this amount, we first need to calculate the amount of discount the salesman is offering. This is calculated by taking the marked price and multiplying it by the discount percentage: N950.00 x 125% = N1,187.50. Then, we subtract this discount amount from the marked price: N950.00 - N1,187.50 = N2,312.50. This is the actual amount the salesman pays for the article.
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What is the unit rate? I need help.
Answers
Answer:
1/15
Step-by-step explanation:
Based on the given conditions, formulate: 2/3 divided by 10
Divide a fraction by multiplying its reciprocal: 2/3 x 1/10
Cross out the common factor: 1/3 x 1/5
Write as a single fraction: 1/3x5
Calculate the product or quotient:1/15
get the result:1/15
Answer:
1/15
1/15
Step-by-step explanation:
Based on the given conditions, formulate: 2/3 divided by 10
Divide a fraction by multiplying its reciprocal: 2/3 x 1/10
Cross out the common factor: 1/3 x 1/5
Write as a single fraction: 1/3x5
Calculate the product or quotient:1/15
get the result:1/15
Answer:
1/15
What does this equal?
5th grade math. Please answer quickly.
Answers
Answer
The answer is 60
Step-by-step explanation:
The soccer team raised $45.50 for new equipment. They spent $42.75 on shin guards and shirts. How much money did they have left?
Answers
Answer: This is for college? lol the answer should be $2.75
Step-by-step explanation:
45.50-42.75= 2.75
Using a protractor and a ruler draw a triangle with a side length of 4 inches that is between angles of 50 and 65
Answers
Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.
What are triangles?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.
Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.
First, let us mark the 50° angle.
Draw a straight line of 4 inches using the ruler as the base.
Keep the protractor on top at one of the ends of the line.
Mark the 50° angle.
Draw a straight line passing through the marked point using the ruler.
Now move the protractor to the other end of the line.
Mark the angle 65°.
Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.
This is a triangle with angles of 50 and 65 degrees.
Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.
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- A state fair uses 32 pallets of lemons for lemonade and 32 pallets for
lemon ice. Which uses a greater amount of lemons?
Answers
Answer:
- A state fair uses 32 pallets of lemons for lemonade
Step-by-step explanation:
fill in the blanks about determining if a property is sine,cosine, or both.
Answers
The functions are Identified as below
The domain is all real numbers for both
An x-intercept is (π, 0) for sin
The minimum value is -1 for both
An x-intercept is (π/2, 0) for cos
What are sin functions?Sin functions, or sine functions, are mathematical functions that describe a wave-like pattern that oscillates between a maximum and minimum value.
sin functions has x intercept of (π, 0), this can be checked by setting a calculator in radian and checking for sin π.This will give a value of of zero
For cos the x intercept is zero at π/2
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Please help find the scale factor
Answers
Answer:
2.5
Step-by-step explanation:
for example, if you take two of the value of x's -- 5/2, it equals 2.5
2 x 2.5 = 5
Yesterday, a movie theater sold 290 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $566 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
PLEASE HELP
Answers
Answer:
Step-by-step explanation:
Let's call the number of large bags of popcorn sold "L" and the number of small bags of popcorn sold "S".
We can set up two equations based on the information given:
L + S = 290 (the total number of bags of popcorn sold)
4L + S = 566 (the total revenue from popcorn sales)
We can use substitution or elimination to solve for L and S.
Substitution:
From the first equation, we know that S = 290 - L. We can substitute this into the second equation:
4L + (290 - L) = 566
Simplifying, we get:
3L + 290 = 566
3L = 276
L = 92
Then we can use the first equation to find S:
L + S = 290
92 + S = 290
S = 198
So the movie theater sold 92 large bags of popcorn and 198 small bags of popcorn.
Elimination:
We can eliminate one variable by multiplying one of the equations by a constant to make the coefficients of one of the variables equal but with opposite signs.
In this case, we can multiply the first equation by 4 to make the coefficients of S equal but with opposite signs:
4L + 4S = 1160
4L + S = 566
Subtracting the second equation from the first, we eliminate L:
3S = 594
S = 198
Then we can use either of the original equations to find L:
L + S = 290
L + 198 = 290
L = 92
So the movie theater sold 92 large bags of popcorn and 198 small bags of popcorn.
x = 8 what is the value of 6(x - 3)
Answers
Answer: 30
Step-by-step explanation:
plug in x=8 to get: 6(8 - 3)
solve inside parenthesis: 6(8-3) = 6(5)
multiply: 6(5) = 30
Answer:
[tex] \sf \: 6(x - 3) = 30[/tex]
Step-by-step explanation:
Now we have to,
→ Find the value of 6(x - 3).
Given information,
→ x = 8
Let's solve the problem,
→ 6(x - 3)
→ 6(8 - 3)
→ 6(5)
→ 6 × 5
→ 30 => [solution]
Hence, the answer is 30.
What are the measures of all angles of a isosceles triangle.
Answers
Answer:
The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
Step-by-step explanation: