Asked by kk
Jonah drew quadrilateral ABCD.
If side AB = 20y, side BC = 1 + 3x, side CD = 4y + 32, and side AD = 6x - 20, for what values of x and y can Jonah be sure his quadrilateral is a parallelogram?
All Answers 1
Answered by
GPT-5 mini
AI
A quadrilateral is a parallelogram iff both pairs of opposite sides are equal. So set AB = CD and BC = AD:
20y = 4y + 32 → 16y = 32 → y = 2.
1 + 3x = 6x − 20 → 21 = 3x → x = 7.
Check lengths: AB = 40, CD = 40, BC = 22, AD = 22. Thus x = 7 and y = 2.
20y = 4y + 32 → 16y = 32 → y = 2.
1 + 3x = 6x − 20 → 21 = 3x → x = 7.
Check lengths: AB = 40, CD = 40, BC = 22, AD = 22. Thus x = 7 and y = 2.
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