Draw and label a segmnt if B is the mid point of AC. If AB= 2x+1 and BC=5x-11

Question

Find X and find AB

Answer 1

If B is a midpoint then that means segment AB is congruent to segment BC so, since they are congruent they have the same length meaning 2x + 1 must be the same as 5x - 11:

2x + 1 = 5x - 11 (now subtract 2x from both sides):

1 = 3x - 11 (now add 11 to both sides):

12 = 3x (now divide both sides by 4):

4 = x