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. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is .

Answer 1

The value of x is

✔ 5

The length of Line segment A B in inches is

✔ 5

The length of Line segment B C in inches is

✔ 15

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Answer 2

AB = x

BC = 3x

AC = 20 inches = AB + BC

Let's plug our values into the equation above.

20 inches = x + 3x

Combine like terms

20 inches = 4x

Divide both sides by 4

5 = x

AB = x = 5 inches

BC = 3x = 3(5) = 15 inches