If ON = 8x – 8, LM = 7x + 4, NM = x – 5, and OL = 3y – 6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not drawn to scale. pic and medal

If ON = 8x 8, LM = 7x + 4, NM = x 5, and OL = 3y 6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not drawn to scale. pic an class=

Verified Answer :

Hagrid

The right answer for the question that is being asked and shown above is that: 

ON = 8x – 8
LM = 7x + 4
NM = x – 5
OL = 3y – 6

OL = NM
3y – 6 = x – 5
3y = x - 6 + 5
3y = x - 1
y = 1/3x - 1/3

ON = LM
8x – 8 = 7x + 4
x = 12
y = 1/3x - 1/3
y = 1/3(12) - 1/3
y = 4 - 1/3
y = 11/3

So the answer is
x = 12
y = 11/3

Answer:

Step-by-step explanation:

X=12

Y= 11/3