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In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x - 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scale. x=8, y = 5 x = 4, y = 6 x=6, y = 4 x = 5, y = 8​

In parallelogram DEFG DH x 2 HF 2y GH 4x 3 and HE 5y 1 Find the values of x and y The diagram is not to scale x8 y 5 x 4 y 6 x6 y 4 x 5 y 8 class=

Respuesta :

WonderlandWanderer

Answer:

x = 6, y = 4

Step-by-step explanation:

The diagonals of a parallelogram bisect with each other at the point of intersection with equal sides across the point of intersection.

  • DH = HF ⇒ x + 2 = 2y
  • GH = HE ⇒ 4x - 3 = 5y + 1

x + 2 = 2y,

4x - 3 = 5y + 1

x = 2y - 2,

4(2y - 2) - 3 = 5y + 1

x = 2y - 2,

8y - 8 - 3 = 5y + 1

x = 2y - 2,

8y - 11 = 5y + 1

x = 2y - 2,

8y - 5y = 11 + 1

x = 2y - 2,

3y = 12

x = 2y - 2,

y = 4

x = 2*4 - 2,

y = 4

x = 6,

y = 4

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