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Question

Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. If JF =  8x+4 and EG =  24x8, find the value of x.



A

1.5

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B

2

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C

3

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D

4

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Solution

The correct option is C

2



Given,
JF =8x+4 and EG =24x8
Quadrilateral is a rectangle.  So,
EJF=90, EJ=JF and EJ=JG=24x82
24x82=8x+4
24x8=2×(8x+4)
24x8=16x+8
24x16x=8+8
8x=16
x=2


Mathematics

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