Answer:
x = 5, AB = 5 inches, BC = 15 inches
Step-by-step 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
