To find the values of x and y, we can use the properties of a parallelogram.
Since opposite sides of a parallelogram are equal in length, we can set up the following equations:
DH = GF
x + 1 = 3z + 4
HE = FG
5y + 1 = 3z + 4
From the first equation:
x = 3z + 3
Now, substituting x back into the second equation:
5y + 1 = 3z + 4
5y = 3z + 3
y = (3z + 3)/5
Therefore, x = 3z + 3 and y = (3z + 3)/5.
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In parallelogram DEFG, DH = x + 1, HF=3y. GH3z4, and HE = 5y + 1. Find the values of x and y. The diagram is not drawn to scale.
(2 points)
1 answer