here are the choices:
a.) x=13, y= 2/13
b.) x=13, y= 13/2
c.) x=6, y=2/13
d.) x=6, y=13/2

Information Given:

ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7


Since it is a parallelogram:

ON = LM and
MN = OL


ON = LM:

7x - 9 = 6x + 4


Subtract 6x from both sides:

x - 9 = 4


Add 9 to both sides:

x = 13


MN = OL:

x - 7 = 2y - 7


Sub x = 13:

13 - 7 = 2y - 7


Simplify:

6 = 2y - 7


Add 7 on both sides:

13 = 2y


Divide by 2:

y = 13/2


x = 13, y = 13/2 (Answer D)

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Step-by-step explanation: