In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

In The Figure, The Angles Are Formed By A Transversal And Two Parallel Lines. Which Angles Are Congruent?

Answers

Answer 1

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.


Related Questions

A BluRay disc normally costs $22. This week it is on sale for 25% off the original price. How much money is discounted from the original price of the BluRay disc?

Answers

Answer:

$7.33

Step-by-step explanation:

22=3/4x

22/.75=22*4/3=29.3333333

$29.33-$22=$7.33

A discounted from the original price of the Blu-ray disc will be $5.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Cost of a Blu-ray disc = $22

The sale on the cost of a Blu- ray = 25%

Now,

Find the discounted price of a Blu-ray as;

Discounted price = 25% of $22

                           = 25 x $22 / 100

                           = $550/100

                           = $5.5

Thus, A discounted from the original price of the Blu-ray disc will be $5.5.

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The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.

Answers

Answer:

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 9000, 51% of students had at least one parent who was a college graduate.

This means that [tex]n = 9000, \pi = 0.51[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

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a line is parallel to y=4x+1 and intersects the point (-2,4) what is the equation of this parallel line

Answers

Answer: y=4x+12

Step-by-step explanation:

a parallel line has the same slope, so the slope remains 4

use point slope formula to write the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-4=4(x--2)\\y-4=4(x+2)\\y-4=4x+8\\y=4x+12[/tex]

Answer:

y=4x+12

Step-by-step explanation:

When two lines are parallel, their slopes are the same. In y=mx+c form, m is the slope. So the slope of our parallel line is 4:

y=4x+c

To find c, plug in (-2,4) into the equation because we know it's a point on the line:

4=4(-2)+c

4=-8+c

c=12

So our equation is y=4x+12

A circle has a radius of 5 centimeters. What is its area?

Answers

Answer:

[tex] \bf \huge 78.5 \: c.m.[/tex]

Step-by-step explanation:

Given that :

A circle has a radius of 5 centimeters.

to find :

What is its area?

formulas used :

A = πr²

where,

A = areaπ = 22/7 r = radius

explanation :

finding the area of circle

⟼ A = πr²

⟼ A = 22/7 × 5²

⟼ A = 22/7 × 5 × 5

⟼ A = 3•14 × 5 × 5

⟼ A = 3•14 × 25

⟼ A = 78•5

the area of circle is 78•5 centimeters

the area is 78.5 cm because the formula is A=3.14r^2 or area=3.14•5^2

Factor the binomial b^2 - 9

Answers

Answer:

(b-3)(b+3)

Step-by-step explanation:

b^2+3b-3b-9

Answer: (b-3)(b+3)
Explanation: Sum-product pattern, then find the common factor(s), rewrite into factored form : )

Hey i need help with this

Answers

Answer:

The x-intercepts are 1 and 3

The y-intercept is 3

The vertex is (2,-1)

The line of symmetry is x=2

Step-by-step explanation:

To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)

Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?

Answers

(x-4)(x-4)
=x^2-4x-4x+16
=x^2-8x+16
it’s +16, not negative. he forgot that when you add two negatives together, it becomes positive.

Answer:

Step-by-step explanation:

first, let's solve the equation ourselves.

(x-4)^2= (x-4)(x-4)= x^2−8x+16

now, we can see what's different about the two.

we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.

Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

200$ because that’s the percent

b1=5,b2=7,h=4
need help plz

Answers

Answer:

[tex]A=24[/tex]

Step-by-step explanation:

For finding the area of a trapezoid you first have to use the correct formula which is  [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].

Now we plug in what we already know.

[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]

Now we start with the parenthesis

[tex]A=\frac{1}{2}(12)(4)[/tex]

Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally

[tex]A=24[/tex]

Answer:

24

Step-by-step explanation:

I hope this helps!! and Sak! can u pls tlk to me in  my questions

Dennis Hampton earns a straight com-
mission of 7% on sales of $5,000 or less
and 9% on sales in excess of $5,000. One
week Dennis had a gross pay of $578.
What were his total sales for that week?

Answers

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

How many kilograms are equal to
54,308 grams?

Answers

Answer:

54.308 kilograms

Step-by-step explanation:

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?​

Answers

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

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The diameter of a cake is 7.8 inches. What is the area of the cake?

Answers

A = πr^2
The radius is half of the diameter.
r = 7.8 / 2
r = 3.9

A = π(3.9)^2
A ≈ 47.78

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

10+(2x3)^2 divied by 4x1/2^3

Answers

Answer:

11.125

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

please mark this answer as brainlest

Will give brainliest for correct answer

Answers

Answer:

A function is a rule that assigns to each input exactly one output.

Step-by-step explanation:

If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.

Answer:

The correct answer is "a rule that assigns to each input exactly one output".

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.

Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?

A. 0.89
B. 1.6
C. 3.84
D. 3.9

Answers

Answer:

0.89

Step-by-step explanation:

Trust

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.

100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.

Answers

9514 1404 393

Answer:

slope: 10 m/srepresents speed in meters per second

Step-by-step explanation:

The slope is the change in the quantity on the vertical scale, divided by the corresponding change in the quantity on the horizontal scale.

Here, the line goes from 0 to 100 meters on the vertical scale, corresponding to a change from 0 to 10 seconds on the horizontal scale. So, the slope is ...

  m = (100 m)/(10 s) = 10 m/s . . . . slope of the line

The ratio of distance to time is given the name "speed", so ...

  the slope represents the sprinter's speed in meters per second.


In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?


Answers

Answer:

Step-by-step explanation: 5/10=1/2  - if one student  are chosen, who plays soccer

4/9 if then the second student are chosen, who plays soccer

1/2*4/9=2/9 the probability that both  students play soccer

Evaluate the expression when a = 6 and x = -3.
-a+7x

Answers

Answer:

-27

Step-by-step explanation:

The equation -a+7x, when plugged in shows -6+7*(-3).

This gives us -6-21 which is -27.

By the way can you follow me on Brainly?

Thanks!

Plz someone help me on these 2 questions!! I'm desperate :)

Answers

Answer:

Step-by-step explanation:

7. The graph does not touch the x axis and never will

8. Horizontal asymptote is y=-100

Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be

Answers

Answer:

The maximum guaranteed waiting time should be of 18.37 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.

This means that [tex]\mu = 15, \sigma = 2.4[/tex]

The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?

The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 15}{2.4}[/tex]

[tex]X - 15 = 1.405*2.4[/tex]

[tex]X = 18.37[/tex]

The maximum guaranteed waiting time should be of 18.37 minutes.

What is the quotient? 2y2-6y-20/4y+12

Answers

Answer:

last 4rd

Step-by-step explanation:

Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?

Answers

Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

Which electrician would be cheaper to hire for 3 hours? 8 hours? Why

Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.

Answers

Answer:

3 hour: electrician B because you would save $15

8 hour: electrician A because you would save $10

Step-by-step explanation:

35×3+100=205 vs 40×3+70=190

b is 15 dollars less

35×8+100=380 vs 40×3+70=390

a is 10 dollars less

5) True or False: Absolute Value can never be negative * O True False​

Answers

Answer:

True

Step-by-step explanation:

Absolute value tells the distance a number is from 0.

[tex]|7|=7[/tex] because 7 is 7 units away from 0.

[tex]|-13|=13[/tex] because -13 is 13 units away from 0.

[tex]|0|=0[/tex] because 0 is 0 units away from 0

Absolute value always produces a number greater than or equal to 0, never negative.

9 ≥ 3b can someone help me out please?

Answers

Answer: b≤3

Step-by-step explanation:

Answer:

3 ≥ b

Step-by-step explanation:

You need to work this out like an algebraic equation

So think of it like this...

9 = 3b

9/3 = 3b/3

3=b

Add the symbol back into the equation

And you get: 3 ≥ b

Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?

Answers

Step-by-step explanation:

X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1

Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?

Answers

cost of 4 snacks

Answer: 53

Total cost: 3.50× + 39

Which of the following lists of fractions are in order from least to greatest? Select TWO that apply.
A.
1/4 2/3 3/10

B.
3/5 7/10 5/6

C.
2/5 5/8 3/4

D.
3/8 9/10 7/12


HELP

Answers

Answer:

i think its a 1/4 then 2/3 and 3/10

I’m sure it is 1/4 2/3 3/10 I don’t know the second though. Have a great day good luck
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