Question

If AC = 14, find the value of x. Then find AB and BC.

Answer 1

Your question is incomplete; However, a similar question is:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

This should serve as a guide

Answer:

See Explanation

Explanation:

Given

`AB = x`

`BC = 2x + 2`

`AC =14`

Required

Determine x, AB and BC.

Since B is between A and C;

`AB + BC = AC`

Substitute x for AB; 2x + 2 for BC and 14 for AC

`x + 2x + 2 = 14`

`3x + 2 = 14`

Collect Like Terms

`3x = 14 - 2`

`3x = 12`'

`x = (12)/(3)`

`x = 4`

Substitute 4 for x in

`AB = x`

`BC = 2x + 2`

`AB = 4`

`BC = 2(4) + 2`

`BC = 8 + 2`

`BC = 10`