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  • 13-03-2022
  • Mathematics
contestada

Find the value of the variable in the parallelogram.

RZ = 4x + 2
SW=9x - 8

X=

Find the value of the variable in the parallelogram RZ 4x 2 SW9x 8 X class=

Respuesta :

Dhamijaavishi Dhamijaavishi
  • 13-03-2022

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.

The diagonals in a parralelogram bisect each other.

The diagonals in a rectangle are congruent.

[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]

[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]

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