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faltersainse [42]
3 years ago
10

A transversal intersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of

a pair of same-side exterior angles are
10w and 5v. What are the values of wand v?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

The value of v is 6° and the value of w is 15°

Step-by-step explanation:

we know that

When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure

so

5v=2w -----> equation A

10w+5v=180 ----> equation B

substitute equation A in equation B and solve for w

10w+(2w)=180

12w=180

w=15°

Find the value of v

5v=2w -----> v=2w/5

v=2(15)/5=6°

therefore

The value of v is 6° and the value of w is 15°

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Plot a graph for the following data recorded for an object falling from rest
shusha [124]
  1. The kind of curve obtained is linear.
  2. The relationship between the variables is direct variation.
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<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

  • The kind of curve obtained is linear.
  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
2 years ago
Please help !!!!!!! Will mark brainliest for the correct answer !!!!!!!!
Sholpan [36]

Answer:

Step-by-step explanation:

-2m - 5n = 7m - 3n

-9m - 5n = -3n

-9m = -2n

m = 2n/9

g(m)= 2n/9

7 0
3 years ago
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