Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. The length of A B is 4 y minus 3, the length of B C is 42, the length of D C is 37, and the length of A D is 3 x minus 9. Use parallelogram ABCD. What are the values of x and y?
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Answer:
x = 17
y = 10
Step-by-step explanation:
AB = CD & AD = BC
according to properties of parallelogram
3x-9 = 42
4y-3 = 37
3x-9 = 42
3x = 42+9
51
x = 51÷3 = 17
• x = 17
4y-3 =37
4y = 37+3
40
y = 40÷4 = 10
• y = 10
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