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BASE is a rectangle. Its diagonals intersect at O. Find x, if OB = 5x+1 and OE = 2x + 4.

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BASE is a rectangle. Its diagonals intersect at O. Find x, if OB = 5x+1 and OE = 2x + 4.

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Given BASE is a rectangle.

OB = 5x + 1 and OA = 2x + 4

In a rectangle diagonals are equal.

BS = EA

(i.e.) 2 x BO = 2 x OA

2(5x + 1) = 2(2x + 4 )

10x + 2 = 4x + 8

10x – 4x = 8 – 2

6x = 6

x = 1

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