Asked by chase
for what values of a and b is each quadrilateral a parallelogram?
Left: 4a+b
Top: 2b+15
Right: 5b-a
Bottom: 5a+b
Left: 4a+b
Top: 2b+15
Right: 5b-a
Bottom: 5a+b
Answers
Answered by
Kenny
One of the properties of a parallelogram
opposite are Always equal
5a+b=2b+15
5a-b=15....(1)
5b-a=4a+b
4b=5a.....(2)
b=5a/4...(3)
Plug into 1
5a-(5a/4)=15....(1)
20a-5a=60
4a-a=12
3a=12
a=4
Now find b
opposite are Always equal
5a+b=2b+15
5a-b=15....(1)
5b-a=4a+b
4b=5a.....(2)
b=5a/4...(3)
Plug into 1
5a-(5a/4)=15....(1)
20a-5a=60
4a-a=12
3a=12
a=4
Now find b
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