Question

If SA = 5x – 8, AD = 2x, and SD = 4x + 7, find SD.

Answer 1

27

Explanation:

If S-A-D (S, A, D are collinear)

Then:

`SD = SA + AD\\</p><p>\therefore 4x + 7 = 5x - 8 + 2x\\</p><p>\therefore 4x + 7 = 7x - 8\\</p><p>\therefore 4x - 7x = - 8 - 7\\</p><p>\therefore - 3x = - 15\\</p><p>\therefore x=(-15)/(-3)\\</p><p>\huge \purple {\boxed {\therefore x = 5}} \\</p><p>SD = 4x + 7\\</p><p>SD = 4* 5+ 7 \\</p><p>SD = 20+ 7 \\</p><p>\huge \orange {\boxed {SD = 27}} \\`