Determine the missing information in the paragraph proof.

Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel.

Prove: Parallel lines have the same slope.

Since slope is calculated using the formula , the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.

Answers

Answer 1

Slope = change in y / change in x
Slope of PQ = (z - v) / (x - w)

Slope of P'Q' = (z + b - (v + b)) / ((x + a) - (w + a))
Slope of P'Q' = (z - v) / (x - w)

The slopes of both lines are equivalent to
(z - v) / (x - w)

Answer 2

Answer:

The answer should be A) v-z w-x

Step-by-step explanation:

Related Questions

To one decimal point, how many millimeters are there in 57 inches?

Answers

The answer is 1447.8 millimeters

There are 1447.8 millimeters in 57 inches. which is determined by multiplying 57 by 25.4.

How to convert Inches to millimeters?

The methodology to convert inches to mm is relatively simple. To convert inches to millimeters, you must multiply the unit by 25.4.

For example, if you have to convert 5 inches to millimeters, you need to multiply 5 by 25.4.

Therefore, 5 inches = 5 × 25.4 = 127 millimeters

We determine the number of millimeters there in 57 inches.

We have to convert 57 inches to millimeters,

We need to multiply 57 by 25.4.

So, 5 inches = 57 × 25.4 = 1447.8 millimeters

Therefore, there are 1447.8 millimeters in 57 inches.

To learn more about the unit conversion click here:

https://brainly.com/question/12792843

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write the equation of a line that is perpendicular to the line 5x-3y=12 and passes through point (3,1)

I know that the answer is y=-3/5x+14/5

Answers

–4x – 3y = 6
and/or
m = 3/4
Hope this helps! :)

Final answer:

To find the equation of a line that is perpendicular to 5x-3y=12 and passes through (3,1), we first identify the slope of the given line, find the negative reciprocal to determine the perpendicular slope, and then use the point-slope form to derive the equation, resulting in y = -3/5x + 14/5.

Explanation:

The question asks us to write the equation of a line that is perpendicular to the given line 5x-3y=12 and passes through the point (3,1). Perpendicular lines have slopes that are negative reciprocals of each other. First, we find the slope of the given line by rearranging it into slope-intercept form:

5x - 3y = 12
-3y = -5x + 12
[tex]y = $\frac{5}{3}x - 4$[/tex]

This reveals the slope of the given line is [tex]$\frac{5}{3}$.[/tex] The slope of the line perpendicular to it would therefore be [tex]$-\frac{3}{5}$[/tex]since [tex]$-\frac{3}{5}$[/tex]is the negative reciprocal of [tex]$\frac{5}{3}$.[/tex] Next, we use the point-slope form for the equation of a line with the known point (3,1):

y - y1 = m(x - x1)
[tex]y - 1 = $-\frac{3}{5}$(x - 3)[/tex]

Multiplying out, we get:

[tex]y - 1 = $-\frac{3}{5}$x + $\frac{9}{5}$[/tex]

Finally, adding 1 to both sides to solve for y:

[tex]y = $-\frac{3}{5}$x + $\frac{9}{5}$ + 1[/tex]
[tex]y = $-\frac{3}{5}$x + $\frac{14}{5}$[/tex]

This is the equation of the line that is perpendicular to 5x-3y=12 and passes through (3,1).

what is the price of a remote control helicopter is $34.40. A remote control boat cost 4/5 the price of the helicopter. Sales tax on the remote control boat is 8%. What is the price of the remote control boat, including sales tax? Round your answer to the nearest penny

Answers

The answer rounded would be 29.94

First, let’s multiply 34.4 to get 1% of that price.
34.4 x 0.01 = 0.344
Then, let’s multiply that 1% by 80 to get the price of the remote controlled boat, since it’s 4/5 the price of the helicopter.
0.344 x 80 = 27.52
$27.52 is the regular price of the boat.
Now, let’s find the 8% of that price. We’ll first first 1% and then multiply our answer by 8 to get 8%.
27.52 x 0.01 = 0.2752
0.2752 x 8 = 2.2016
Sales tax will be $2.20
The total will add the sales tax to the regular total of the boat.
$27.52 + $2.20 = $29.72
$29.72 is your answer.

Hope that helped! :)

Jared has a wooden board that is 11 ft long. He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.

How long will each piece of board be?

Enter your answers in the boxes.

Shorter piece:

ft

Longer piece:
ft

Answers

3 and 8 goodluck!!!!!!

Answer:

The shorter piece is 3-ft long and the long piece is 8-ft long

Hope this helped you!!

I took the the the test on K12 and it was right I got 100%

;^D

Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the ratio of the smaller diameter to the largest diameter?

Answers

20:45 or 4:9 if simplified

A touchdown is worth 6 points. Additionally you score an extra point if you can kick a field goal . Is the total number of points scored proportional to the number of touchdowns

Answers

No because a touchdown is worth 6 and the extra points is worth 4 or 2

Sort of because you can also go for two extra points by throwing or running it into the end zone and you may also miss the extra point into the field goal. Also there are safety's where the quarterback is tackled in there end zone which is worth 2 points toward the opposing team and field goals where the ball is kicked on fourth down and they never made it into the end zone which is worth three points for the team if they make it into the field goal.

Is the ratio 5:6 equivalent to 3:4

Answers

no, it is not equivalent,

No I dont think so sorry

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to triangle ABC?

Answers

multiply 3,4,5 with the any common factor:
×2: 6,8,10
×3: 9,12,15

Answer: The answer is A

what is 5 divided by 8.1

Answers

.6172839506
as a fraction this is 50/81

The answer to this is 0.61728

How many times can 8 go into 280

Answers

35 I think it is I'm not too sure

When preparing a monthly budget, describe how net income is calculated.

Answers

Net income (NI) is a company's total earnings (or profit); net income is calculated by taking revenues and subtracting the costs of doing business such as depreciation, interest, taxes and other expenses. ... Net income also refers to an individual'sincome after taking taxes and deductions into account.

google

I believe its subtracting the expenses subtotal from the net income will give you the income subtotal. I hope this helps:D

Five times your quiz score q

Answers

the answer would be 5 x q

Police set up an auto checkpoint at which drivers are stopped and their cars inspected for safety problems. They find that 14 of the 134 cars stopped have at least one safety violation. They want to estimate the percentage of all cars that may be unsafe.

Answers

Final answer:

To estimate the percentage of all cars that may be unsafe, divide the number of cars with safety violations by the total number of cars stopped, and then multiply by 100. Based on the data from the auto checkpoint, approximately 10.45% of all cars may be unsafe.

Explanation:

To estimate the percentage of all cars that may be unsafe, we can use the proportion of cars with safety violations found at the auto checkpoint. We can calculate the percentage by dividing the number of cars with safety violations by the total number of cars stopped, and then multiplying by 100.

In this case, 14 of the 134 cars stopped had safety violations. So, the percentage of cars that may be unsafe is (14/134) x 100 = 10.45% (rounded to two decimal places).

Therefore, we can estimate that approximately 10.45% of all cars may be unsafe based on the data from the auto checkpoint.

Which of the following expresses 16 + 36 by using the GCF of the two numbers?
A. 4(4+9)
B.4(4+32)
C.8(2+28)
D.8(8+28)

Answers

16 and 36 have a GCF of 4.
4 * 4 = 16
4 * 9 = 36
16 + 36 = 4(4 + 9)

Answer:

the answer is a

Step-by-step explanation: how i knew is because i remembered this questions a while back so yeah the answer is a i hope this will help

What is $500 double the amount

Answers

$1000 because 2(500)=1000

2(500) = $1000 1000 divided by 2 = $500

What is the slope of the line Y = - 4/5x?

Answers

Hey there!

The slope of the line is -4/5

Slope is m= -4/5
Hope this helps

4ab over c divided by 3a over 2c

Answers

=4ab/c x 2c/3a
= 8b / 3

hope it helps

You can utilize the reciprocal of the dividing fraction to solve for this by multiplication. See the image for better formatting.

PLEASE HELP ME ASAP!

Which unit rate is the lowest price per ounce?

Choice A: 5 ounces of raisins for $1.49
Choice B: 12 ounces of raisins for $3.59

Choice A
Choice B
The unit rates are equal.
The unit rates cannot be determined.

Answers

A is the better deal on raisins, Hope this helped

Choice A

A: 1.49/5=0.298
B: 3.59/12=0.299

If this is correct can you rate me

HELP PLEASE DUE IN 10 MIN.
Show work please
Simplify the expression FIRST
9x + 2y + 6 + 9y + 7
What is the coefficient of y?
What is the constant?

Answers

Add like terms. Like terms are terms that have the same variable.

9x + 2y + 6 + 9y + 7 =

= 9x + 2y + 9y + 6 + 7

= 9x + 11y + 13

The coefficient of y is 11.
The constant is 13.

Answer:

I only know that the coefficent of y is 11

Step-by-step explanation:

Rachel drove 350 miles in 5 hours. How many miles did she drive per hour? Please answer

Answers

divide total miles by time

350 / 5 =70 miles per hour

350/5=70
Rachel drove 70MPH

Ned has scored 84 points in the first 6 games of the basketball season. How many points per game has Ned scored?

Answers

Ned must have scored an avg. of 14 points per game in his 6 games total.

A good strategy to show this is using ratios or proportions.

84 points : 6 games = 14 points : 1 game

SCALE FACTOR: To figure out the scale factor divide the information that is matched. In this case it would be 6 games divided by 1 game. Your scale factor is 6. Multiply the information that matches the information that is missing. So, in this case it would be 84 points divided by 6. You are dividing because you want to know how much Ned scored in one game, now if you wanted to know how much Ned made in 12 games you would multiply 84 by 6. 84 divided by 6 = 14

ANSWER: NED SCORES 14 POINTS PER GAME

The electronic Store sold for laptopComputers in one day. The total cost of laptops was $3600. If each laptop cost the same amount how much did each laptop cost

Answers

One laptop would be 900$, 3600$/4 laptops.

find the value of x and y

Answers

What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a straight angle, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.

The heaviest bowling ball made by a bowling ball company weighs 21 pounds and costs $45. During the past year, the company sold 10 5 105 of these balls. How much money did the company earn?
A. $4,500
B. $45,000
C. $4,500,000
D. $45,000,000 Previous Next

Answers

Well, I don't know the number of bowling balls they sold is it 10, 5 or 105 but the answer is just the number of sold balls multiplied by 45. Make sure to put a dollar sign on your answer.

The required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

A bowling ball manufacturer's heaviest bowling ball weighs 21 pounds and costs $45. The corporation sold 10 5 105 of these balls throughout the course of the previous year. To determine how much money did the company earn.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Number of balls sold = 10⁵
Cost for 1 ball = $45
Total selling price = 45 * 10⁵ = $4500000

Thus, the required money earned by the company after selling 10⁵ balls is $4500000. Option C is correct.

Learn more about simplification here: https://brainly.com/question/12501526

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In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
A. 5 + 3p ≥ 30
B. 5 + 3p ≤ 30
C. 5p + 3 ≥ 30
D, 5p + 3 ≤ 30

Answers

The answer is A because you know he scored 5 points in the first round. Then you don't know what he scored in the next rounds. You also know that the total points have to be greater than or equal to 30. Therefore the correctly set up inequality is A. Hope this helps!

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Because those first 5 points + the other 3 rounds that had the same amount of points scored. So, 5 + 3p (in other words, P is representing the unknown number of points scored in those 3 other rounds. So, Choice A is your answer. ;)

Margo spends 0.25 of her paycheck on a new dress, 1/8 of her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?

Answers

It will be 84 dollars

Answer:

$96

Step-by-step explanation:

Wich decimal number best describes the fraction 137/6

Answers

Convert the fraction to a decimal by dividing the numerator by the denominator.
22.83 (the 3 is endless)

Sharif opened a bank account that initially had $0 in it. He then deposited $150. Later that week, he withdrew $35. Write each value as an integer and model each integer on a number line.

Answers

Draw a number line. Label 0 on it because he started out there. Then, label 150 for the $150 he deposited. After that subtract 35, written as -35, and label 115 on the number line (150 - 35 = 115).

Here's how you will write all integers:
0
150
-35

If you don't understand/need more help with more problems, HMU.

A sector is cut out from a circular sheet of paper, and the two edges of the cut are joined together (with no overlap) to form a cone. The cone formed has radius 6 and volume 96 pie . What is the number of degrees in the sector that was cut off?

Answers

Solve the systems of the equations:

2x - y = 4
6x - 3y = 7

a) (2,-4)
b) (-2,4)
c) Infinite Solutions
d) No Solutions

Answers

D. No Solution

Hope i could help!!

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