Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of y?

Mathematics Posted by admin

QUESTION POSTED AT 18/04/2020 - 07:22 PM

Answered by admin AT 18/04/2020 - 07:22 PM

Because JKLM is a parallelogram, MT = TK.

MT: 8y + 18
TK : 12y - 10

MT = TK
8y + 18 = 12y - 10
8y - 12y = -10 -18
-4y = -28
y = -28/-4
y = 7

MT: 8y + 18 → 8(7) + 18 = 56 + 18 = 74
TK : 12y - 10 → 12(7) -10 = 84 - 10 = 74

The value of y is 7.
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