Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown.

What is the value of y?

A. 1
B. 2
C. 7
D. 8

Figure JKLM is a parallelogram The measures of line segments MT and TK are shown What is the value of y A 1 B 2 C 7 D 8 class=

Respuesta :

8y +18 = 12y-10

8y +28 = 12y

28 = 4y

y = 28/4 = 7

y = 7

C is the answer

The value of y in the parallelogram JKLM is 7

Properties of a parallelogram;

  • opposite sides are equal and parallel
  • opposite angles are equal
  • The diagonal bisect each other  

Therefore,

8y + 18 = 12y - 10

8y - 12y = -10 - 18

-4y = - 28

divide both sides by -4

y = - 28 / -4

y = 7

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