Question

DEFG is a parallelogram. Segment DH = 2y + 6, segment HF = 4x + 1, segment HE = 3x + 2 and segment GH = 20. Find the value of y

Answer 1

only y without x ?

Answer 2

I think so

Answer 3

ok, first :
GH = HE = 20, therefore GE = 2 * GH = 2 * 20 = 40

Answer 4

So what does that mean

Answer 5

looks we have to determine the value of x, first :)

Answer 6

ok, how would I do that

Answer 7

GH = HE = 20
because HE = 3x +2, so
3x + 2 = 20
solve for x, can you ?

Answer 8

so that would mean x was 7.333

Answer 9

But then what

Answer 10

3x + 2 = 20
subtract by 2 on both sides,
3x + 2 - 2 = 20 - 2
3x = 18
divide by 3 on both sides,
3x/3 = 18/3
x = 6