In a parallelogram ABCD if AB=y+1 CD=2x+5 quad AD=y+5 and BC=3x-4 Then find the ratio of AB:BC.
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In a parallelogram opposite side are congruent
Hence AB=CD and BC=AD
Now 2x+5=y+1 and 3x−4=y+5
On solving these equations we will get
2x−y=−4.(1)
And 3x−y=9.(2)
Now on solving these equation, we will get x=13 and y=30
Hence AB=2x+5=2(13)+5=31
And BC=3x−4=3(13)−4=35
Hence AB:BC=31:35
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