Q:

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?

Accepted Solution

A:
Answer:The answer to your question is: AC = 36Step-by-step explanation:DataSegment AC with midpoint = BAC = 5x - 9AB = 2xAC = ?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 = 9Finally,            AC = 5x - 9                              = 5(9) - 9                              = 45 - 9                              = 36