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

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

Respuesta :

Answer:

6

Step-by-step explanation:

If GH equals 20 so does HE so 3x6+2=20

Answer:

x=6

Step-by-step explanation:

given that DEFG is a parallelogram and the diagonals bisect at H.

Since diagonals bisect each other in a parallelogram, we have

DH = HF and EH = HG.

GH=20 is given.  i.e. 3x+2 = 20

Subtract 2

3x = 18

Divide by 3

x =6

so answer is x =6.

We can find value of y also.  DH =HF=4x+1

i.e. 2y+6 = 25

y = 9.5



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