luizamolenda luizamolenda
  • 11-12-2019
  • Mathematics
contestada

The value of x is ...?

The value of x is class=

Respuesta :

josshyaby
josshyaby josshyaby
  • 12-12-2019

Answer:

X = 64

Step-by-step explanation:

Comparing the two triangle put the right angle into consideration.

(17 + X)/(X + 8) = (X + 8)/X

Cross multiplying

X(17 + X) = (X + 8)(X + 8)

17X + X^2 = X^2 + 8X + 8X + 64

Collecting like terms

X^2 - X^2 + 17X - 8X - 8X = 64

X = 64

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