nickdacaboose0 nickdacaboose0
  • 11-05-2018
  • Mathematics
contestada

In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y.

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mathstudent55
mathstudent55 mathstudent55
  • 11-05-2018
The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

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

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute 20 for y in the first original equation.

x + 5 = 2y

x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20
Answer Link
mar03riv
mar03riv mar03riv
  • 06-06-2019

Answer:

x=35 y=20

Step-by-step explanation:

Answer Link

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