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

x = 5 segment AC = 25

Explanation:

if 'A' to 'B' is 2x + 10 and 'B' to 'C' is x, then we need to add those values together to get from 'A' to 'C'

2x + 10 + x = 5x

add the 'x' values

3x + 10 = 5x

then subtract the '3x's from both sides

10 = 2x

finally, divide both sides by two

5 = x

meaning.....

5 • 5 (for the 5x) is equal to 25