Question

Use the segment to complete the statements.

The value of x is
The length of AB in inches is
The length of BC in inches is

Answer 1

x = 5

AB = 5 inches

BC = 15 inches

Explanation:

If AC = 20

then AB + BC = AC

; 3x + x = 20

where 4x = 20

; x = 5

AB = x = 5 inches

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

Answer 2

a). x = 5 inches

b). AB = 5 inches

c). BC = 15 inches

Explanation:

From the given diagram, sum of the length of segment AB and length of segment BC will be equal to the length of AC.

That means, AB + BC = AC

Since AB = x inches

BC = 3x inches

and AC = 20 inches

A). x + 3x = 20

4x = 20

x =
`(20)/(4)`

= 5 inches

B). AB = x = 5 inches

C). BC = 3x = 3×5 = 15 inches