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

Answer:

The answer to your question is: AC = 36

Step-by-step 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