Question

Point B is on line segment AC. Given AB = 3x, BC = 4x + 8, and

AC = 5x + 10, determine the numerical length of AC.
Answer: AC
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B
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Answer 1

AC = 15

AB = 3

BC = 12

Explanation:

AB + BC = AC

3x + (4x + 8) = 5x + 10

3x + 4x - 5x = 10 - 8

2x = 2

x = 1

AC = 5x + 10 = 5(1) + 10 = 15

AB = 3x = 3

Bc = 4x + 8 = 12