Question

If point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10

Answer 1

9514 1404 393

Answer:

• x = 2
• AC = 16

Explanation:

The midpoint divides the segment into two equal lengths:

AB = BC

5x -2 = 9x -10

8 = 4x

2 = x

AB = 5(2) -2 = 8

AC = 2AB = 2(8) = 16