Find the value of the variable in the parallelogram. R W RZ = 2x + 6 SW = 5x – 27 S T X= (Simplify your answer.)
In a parallelogram, opposite sides are equal in length.
Given: RW = RZ, RX = ST
Since RW = RZ, we can set up an equation:
2x + 6 = 5x - 27
To simplify the equation, let's bring all the x terms to one side and the constant terms to the other side:
2x - 5x = -27 - 6
Combine like terms:
-3x = -33
Now, let's divide both sides by -3 to isolate the variable x:
x = -33 / -3
x = 11
Thus, the value of the variable x is 11.