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

Question

asked May 17, 2021 96.2k views

1 Answer

Jeel Vankhede · Answer 1 · 2021-05-23T11:55:12+0000

Answer:

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