.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

anonymous · Answer

Well, as we know, a parallelogram has 2 equal sides of one length and 2 equal sides of another. As such, we find the lines which to not touch, such as ON and LM for one group and NM and OL for another, and make them equal, solving for the required variable. 
 ON = LM 
 9x - 4 = 8x + 7 
 x - 4 = 7 
 x = 11 

 NM = OL 
 x - 3 = 4y - 8 
 Since we already found x, we just plug it in and: 
 11 - 3 = 4y - 8 
 8 = 4y - 8 
 16 = 4y 
 4 = y

anonymous · Answer

other word its a