Question

HELP! PLEASE SHOW ALL WORK! 98 POINTS!!!

In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.

Draw the line clearly labeling all points and adding the given measures. (May be done with the snipping tool or by hand.)

Work and answer. May be typed or handwritten.

Answer 1

AC=36

Explanation:

Because I am never wrong. LOL XD

Answer 2

The answer to your question is: AC = 36

Explanation:

Data

AC is the total length

B is the midpoint

AC = 5x - 9

AB = 2x

AC = ?

Process

AC is the total length and B is the midpoint, so, AB is half the length of AC

So, 2AB = AC

2(2x) = 5x - 9

Solve for x 4x = 5x - 9

4x - 5x = -9

-1x = -9

x = -9 / -1

x = 9

Finally

AC = 5x - 9

AC = 5(9) -9

= 45 - 9

= 36