maniiimariee maniiimariee
  • 25-01-2021
  • Mathematics
contestada

Find the values of x and y

Find the values of x and y class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-01-2021

9514 1404 393

Answer:

  • x = 1
  • y = 4

Step-by-step explanation:

In order to solve this problem, we must assume the given triangles are congruent.

__

Equating expressions for the hypotenuse, we have ...

  10x = 2x +8

  8x = 8 . . . . . . . . subtract 2x

  x = 1 . . . . . . . . . . divide by 8

Equating expressions for the bottom legs, we have ...

  y +2x = 10x -y

  2y = 8x . . . . . . . . add y-2x

  y = 4x = 4(1) . . . . divide by 2, substitute for x

  y = 4

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