Question

Solve for the missing variable(s) and SHOW ALL WORK

Answer 1

x = 4

Explanation:

From the picture attached,

By using mean ratio theorem in the given triangle,

`(AC)/(BC)=(BC)/(CD)`

AC × CD = (BC)²

(x + 5)x = (x + 2)² [Since, AC = AD + CD]

x² + 5x = x² + 4x + 4

5x = 4x + 4

5x - 4x = 4

x = 4

Therefore, x = 4 will be the answer.