Question

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

Answer 1

Answer:

27

Step-by-step explanation:

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

Then:

$SD = SA + AD\\\therefore 4x + 7 = 5x - 8 + 2x\\\therefore 4x + 7 = 7x - 8\\\therefore 4x - 7x = - 8 - 7\\\therefore - 3x = - 15\\\therefore x=\frac{-15}{-3}\\\huge \purple {\boxed {\therefore x = 5}} \\SD = 4x + 7\\SD = 4\times 5+ 7 \\SD = 20+ 7 \\\huge \orange {\boxed {SD = 27}}$