Transversal:
find the value of x on the attached diagram.

x = 10

Step-by-step explanation:

We are given a diagram with lines AB and CD intersected by a line EH.

Given that the lines AB and CD are parallel, we are to find the value of x.

Since the lines are parallel so the angles are interior alternate angles and are equal to each other.

Therefore, we can write it as:

x = 10

The value of x = 10

Step-by-step explanation:

From the figure we can see that, AB║CD

And HE is a traversal. Two angles are given. These angles area alternate interior angles which are equal

To find the value of x

Two alternate interior angles are

(3x + 15)° and (5x - 5)°

(3x + 15) = (5x - 5)

5x - 3x 15 + 5

2x = 20

x = 20/2 = 10

Therefore the value of x = 10

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).