Question

Point B is on line segment AC

Given: AB = 4x - 6, AC = 2x + 10, and BC=4, determine the numerical length of AC.

Answer 1

22

Explanation:

AB + BC = AC

4x -6 + 4 = 2x + 10 Combine like terms

4x -2 = 2x + 10 Subtract 2s from both sides of the equation

2x -2 = 10 Add 2 to both sides

2x = 12 Divide both sides by 2

x = 6

Plug in 6 for x in AC

2x + 10

2(6) + 10

12 + 10

22