geometry

for what values of a and b is each quadrilateral a parallelogram?
Left side: 5a
Top: 3a+1
Right side: 2b-5
Bottom: b

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  1. to have a parallogram, opposite sides must be equal, so
    3a+1 = b, and 5a = 2b-5

    use substitution ,
    5a = 2(3a+1) - 5
    solve for a, then you can find b in b = 3a+1

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