If ON = 9x – 4, LM = 8x + 7, NM = x – 3, and OL = 4y – 8, find the values of x and y for which LMNO must be a parallelogram.

A.

x = 11, y = 4

B.

x = 11, y = 11

C.

x = 4, y = 4

D.

x = 4, y = 11

Question

If ON = 9x – 4, LM = 8x + 7, NM = x – 3, and OL = 4y – 8, find the values of x and y for which LMNO must be a parallelogram.
 

 A.	
 
x = 11, y = 4
 
 B.	
 
x = 11, y = 11
 
 C.	
 
x = 4, y = 4
 
 D.	
 
x = 4, y = 11

directrix · Answer

A.	
 x = 11, y = 4

If this is the case, then:

8x + 7 = 9x -4  --> x = 11
4y - 8 = x - 3 --> 4y -8 = 11 -3 and 4y =16 and y = 4.