xuribe55 xuribe55
  • 17-09-2020
  • Mathematics
contestada

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

Respuesta :

Hrishii
Hrishii Hrishii
  • 17-09-2020

Answer:

27

Step-by-step explanation:

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

Then:

[tex]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}} \\[/tex]

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