Find the value of the variable in the parallelogram.
RZ = 4x + 2
SW=9x - 8
X=
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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]