The image shows a parallelogram with two labeled sides: one side is labeled "3x - 12" and the opposite side is labeled "4x - 24." To find the value of x, we need to use the property that opposite sides of a parallelogram are equal in length.
So we can set up the equation:
3x - 12 = 4x - 24
Now, we'll solve for x:
3x - 4x = -24 + 12
-x = -12
Divide both sides by -1 to get x:
x = 12
Hence, the value of x in this parallelogram is 12.
