Question

Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements.

Answer 1

Step-by-step explanation:

If Point B lies between points A and C on line segment AC, then the formula is true AB+BC = AC

Given

AB = x inches'

AC = 20 inches

BC = 3x

Substituting the given parameters into the formula AB+BC = AC

x + 3x = 20

4x = 20

Divide both side by 4

4x/4 = 20/4

x = 5

Since x = 5 inches, hence the segment AB id 5 inches.

Given BC = 3x

BC = 3(5)

BC = 15 inches

This means that the space between points A and B is labeled 5 inches while the space between points B and C is labeled 15 inches.