# Geometry

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

The parallelogram has D at the top left E at the top right, G at the bottom left and and F at the bottom right with H in the middle.

Thank You ^0^

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1. Since the diagonals bisect each other,

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

x - 3y = -1
3x - 5y = 5

3x - 9y = -3
3x - 5y = 5

4y = 8
y=2
x=5

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2. THank You :) I appreciate your help! :)

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3. x = 5 and y = 2 does not work, I have tried.

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4. yes it does work

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3 x 2=6
3(5)-4=11
5(2)+1=11
So they are correct.

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6. How'd he get x=5, though?

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7. how did he get 9y

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8. Thanks Steve

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9. holy it's been a decade and we're still struggling on the same exact questions

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10. bruh this is trash, no wonder brainy is better

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