Question

In segment AC, the midpoint is B. if segments AC = 5x-9 and AB= 2x what is the measure of AC? Can you show their work on paper or something so i can understand more?

Answer 1

The answer to your question is: AC = 36

Explanation:

Data

Segment AC with midpoint = B

AC = 5x - 9

AB = 2x

AC = ?

Process

total length = AC but B is the midpoint so AB + AB = CA

2AB = CA

Substitution 2(2x) = 5x - 9

4x = 5x - 9

Solve for x 4x - 5x = -9

-1x = -9

x = -9/-1

x = 9

Finally, AC = 5x - 9

= 5(9) - 9

= 45 - 9

= 36