All of the surfaces are rectangular
She could use the following methods:
8 dimes
16 nickles
2 quarter and 3 dimes
2 quarters and 6 nickles
so, 4 combos
Supplementary angles definition: They add up to 180°
There are several ways to prove a parallelogram:
1. Opposite sides theorem converse
2. Opposite angles theorem converse
3. Parallelogram diagonals theorem converse
4. Parallel congruent sides theorem
∠P + ∠Q = 180° --1
∠P + ∠S = 180° --2
1: ∠P = 180° - ∠Q
Sub 1 into 2:
180° - ∠Q + ∠S = 180°
180° + ∠S = 180° + ∠Q
∠S = ∠Q
Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines
Part A :
So the two sides are equivalent,

Solve for x and get 3.
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Answer : x = 3
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Part B :
To find JM, simply substitute x for 3 and solve,


~^
Answer : JM = 9
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey