Question

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28

Answer 1

x = 10

Explanation:

Data

• AB=2x

• BC=x−2

• AC=28

Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:

AB + BC = AC

Replacing with data:

2x + (x - 2) = 28

3x - 2 = 28

3x = 28 + 2

x = 30/3

x = 10