PLEASE HELP!
solve for x and then find measure for angle b

Explanation:

Angles A and B are alternate exterior angles.

Due to the parallel lines, alternate exterior angles are congruent

A = B

5x-15 = 2x+21

5x-2x = 21+15

3x = 36

x = 36/3

x = 12

Use this x value to find the measure of angle B

angle B = 2x+21

angle B = 2*12+21

angle B = 24+21

angle B = 45 degrees

As a check,

angle A = 5x-15

angle A = 5*12+15

angle A = 60-15

angle A = 45 degrees

Since A and B are both 45 degrees, this confirms the correct x value

Null hypothesis:

Alternative hypothesis:

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.

Step-by-step explanation:

For this case we wnat to test if all the mean length of all face-to-face meetings and the mean length of all Zoom meetings are the same. So then the system of hypothesis are:

Null hypothesis:

Alternative hypothesis:

The alternative hypothesis for this case is that at least one mean is different from the others.

And the best method for this case is an ANOVA test.