Question

Points A, B, C, D, and E are collinear and AC= 16 What is x?​

Answer 1

`x = 3`

Explanation:

Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:

`AB + BC = AC`

`(x + 7) + 2x = 16`

Solve for x

`x + 7 + 2x = 16`

`3x + 7 = 16`

Subtract both sides by 7

`3x + 7 - 7 = 16 - 7`

`3x = 9`

Divide both sides by 3

`(3x)/(3) = (9)/(3)`

`x = 3`