Question

Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,

determine the numerical length of AC.

Answer 1

AC = 25

Explanation:

Since B is on the segment AC, then

AC = AB + BC, substitute values

5x = 2x +10 + x , that is

5x = 3x + 10 ( subtract 3x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus

AC = 5x = 5(5) = 25