Question

In order for the parallelogram tobe a square, x = [?].4x + 1712x - 23

Answer 1

By definition, the diagonals of a square bisect each other, so these diagonals are perpendicular, which means that they form a Right angle (90 degrees) when they intersect. The diagonals of a square have equal length.

In this case, you in order for the parallelogram to be a square:

$4x+17=12x-23$

Then, you can solve for the variable "x":

$\begin{gathered} -12x+4x=-23-17 \\ -8x=-40 \\ \\ x=\frac{-40}{-8} \\ \\ x=5 \end{gathered}$

Therefore, the answer is:

$x=5$