Question

Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in incUse the segment to complete the statements.Hes.

Answer 1

x = 5, AB = 5 inches, BC = 15 inches

Explanation:

The segment addition postulate states that for line AC having point B between point A and point C, the distances between the point satisfy the equation:

AB + BC = AC

Given that AB = x and BC = 3x, also AC = 20 inches

AB + BC = AC

x + 3x = 20

4x = 20

Dividing through by 4:

4x/4 = 20/4

x = 5

Therefore AB = x = 5 inches, BC = 3x = 3 * 5 = 15 inches