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Quadrilateral JKLM has side lengths of JK = 3y + 4, KL = 8x – 12, LM = 5y – 6, and JM = 4x + 20. Find the values of x and y that make quadrilateral JKLM a parallelogram. A. x = 8, y = 11 B. x = 7, y = 5 C. x = 8, y = 6 D. x = 8, y = 5 (geometry)

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opposite sides of a parallelogram are congruent... 

(3y + 4) = (5y - 6) 
2y = 10 
y = 5 

(8x - 12) = (4x + 20) 
4x = 32 
x = 8 

Cutiepatutie

The answer is x = 8, y = 5 .