Question

Find x if:

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

Answer 1

The value of x = 11

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