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Answer the following: A Find the value of the variable that will make each quadrilateral a parallelogram.​

Answer The Following A Find The Value Of The Variable That Will Make Each Quadrilateral A Parallelogram class=

Sagot :

Step-by-step explanation:

To find,

  • To find the required values of x and y, so that the given parallelograms become equal.

As known,

  • Since, diagonals of a parallelogram bisect each other. [Condition]

Solution:

1) By the above condition,

First case-

=> 12 = 3x + 6

=> 3x = 12 - 6

=> 3x = 6

=> x = [tex]\frac{6}{3}[/tex]

=> x = 2

Second case-

=> 2y + 9 = 27

=> 2y = 27 - 9

=> 2y = 18

=> y = [tex]\frac{18}{2}[/tex]

=> y = 9

Hence,

Required value of, x = 2 and y = 9 (Ans)(1)

2) By the above condition,

First case-

=> 3x - 7 = 2x

=> 3x = 2x + 7

=> 3x - 2x = 7

=> x = 7

Second case-

=> 5y - 3 = 2y + 9

=> 5y - 2y = 9 + 3

=> 3y = 12

=> y = [tex]\frac{12}{3}[/tex]

=> y = 4

Hence,

Required value of, x = 7 and y = 4 (Ans)(2)