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

a. x = 35, y = 20
b. x = 21, y = 20
c. x = 20, y = 35
d. x = 21, y = 37
https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/quadrilaterals/mc034-1.jpg

Question

please help!! 1 medal and fan
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 3x – 1, and HE = 5y + 4. Find the values of x and y. 
 	
a.	x = 35, y = 20
	b. x = 21, y = 20
	c. x = 20, y = 35
	d. x = 21, y = 37
https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/quadrilaterals/mc034-1.jpg

whpalmer4 · Answer

What do you know about the diagonals of parallelograms?

whpalmer4 · Answer

Yes, that's right — the diagonals bisect each other.

DH = HF
GH = HE

Therefore you can write the following equations:

$$x+5 = 2y$$$$3x-1=5y+4$$
Rearrange the first equation to give $x$ in terms of $y$.  Substitute that expression for $x$ in the other equation, and solve for $y$.  Use the value of $y$ to find the value of $x$ in either equation.

anonymous · Answer

ok i get it

anonymous · Answer

thank you