Question
In parallelogram DEFG, DH = x+1, HF=3y, GH = 3x- 4, and HE = 5y+1. Find the values of x and y. The diagram is not drawn to scale. Please make this as short and simple as possible
Answers
GPT 3.5
Since DEFG is a parallelogram, opposite sides are congruent. Therefore, DH = GF and HF = GE.
DH = GF
x + 1 = 3x - 4
3 = 2x
x = 3/2
HF = GE
3y = 5y + 1
-2y = 1
y = -1/2
The values of x and y are x = 3/2 and y = -1/2.
DH = GF
x + 1 = 3x - 4
3 = 2x
x = 3/2
HF = GE
3y = 5y + 1
-2y = 1
y = -1/2
The values of x and y are x = 3/2 and y = -1/2.