Question

Find x if: - B is between A & C; -AB = x + 5; -BC = 2(x-3); and -AB ~= BC

Answer 1

Answer:

The value of x = 11

Step-by-step explanation:

Given

• B is between A and C.

• AB = x+5

• BC = 2(x - 3)

• ${\displaystyle {\overline {AB}$ ≅ ${\displaystyle {\overline {BC}$

Determining the value of x

As B is between A and C, so

${\displaystyle {\overline {AB}$ ≅ ${\displaystyle {\overline {BC}$

as

• AB = x+5

• BC = 2(x - 3)

so

x + 5 = 2(x-3)

x+5 = 2x-6

2x-x = 5+6

x = 11

Therefore, the value of x = 11