Question

Quadrilateral MNOP is a rectangle in which R is the point of intersection of the diagonals. Find the value of X if RN=23x+6 and MO=48x-4

Answer 1

Value of X = 8  if RN = 23x + 6 & MO = 48x - 4 where R is point of intersection of diagonals of Rectangle MNOP

Step-by-step explanation:

MNOP is a rectangle in which R is the point of intersection of the diagonals

MO  & NP

Diagonals of a Rectangle are equals

=> MO = NP

Diagonal of rectangle bisect eact other

=> RN = NP/2

=> RN = MO/2

=> MO = 2 * RN

MO = 48x - 4

RN = 23x + 6

=> 48x - 4 = 2(23x + 6)

=> 48x - 4 = 46x + 12

=> 2x = 16

=> x = 8

Value of X = 8

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