In the given parallelogram , OA=x+8, OC=16-x, OB=5y+4 and OD=2y+13. find x and y. no spam please...write as fast as u can.
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Question : In a parallelogram ABCD, if AB = 2x + 5, CD = y + 1, AD = y + 5 and BC = 3x - 4, what is the ratio of AB and BC?
In a parallelogram ABCDABCD , AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯AB¯=CD¯ and AD¯¯¯¯¯¯¯¯=BC¯¯¯¯¯¯¯¯AD¯=BC¯ . So,
y+1=2x+5(1)(1)y+1=2x+5
y+5=3x−4(2)(2)y+5=3x−4
From Equation (1)(1) , y=2x+4y=2x+4 . From (2)(2) , y=3x−9y=3x−9 . So,
2x+4=3x−9(3)(3)2x+4=3x−9
⇒x=13(4)(4)⇒x=13
Hence,
AB¯¯¯¯¯¯¯¯BC¯¯¯¯¯¯¯¯=2x+53x−4=3135AB¯BC¯=2x+53x−4=3135
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