in quadrilateral wxyz, wc = 2x + 5 and cy = 3x + 2. what must x equal for quadrilateral wxyz to be a…
in quadrilateral wxyz, wc = 2x + 5 and cy = 3x + 2. what must x equal for quadrilateral wxyz to be a parallelogram? x =
Answer
Explanation:
Step1: Recall parallelogram property
In a parallelogram, the diagonals bisect each other. So, $WC = CY$. $$2x + 5=3x + 2$$
Step2: Solve the equation for x
Subtract $2x$ from both sides: $$2x+5 - 2x=3x + 2-2x$$ $$5=x + 2$$ Then subtract 2 from both sides: $$5-2=x+2 - 2$$ $$x = 3$$
Answer:
$3$