Question

given rectangle vwxy below, xz = 54. if wz = -3x - 6, solve for x.

Explanation:

Step1: Use rectangle diagonal property

In a rectangle, diagonals bisect each other, so $WZ = XZ$.

Step2: Set up equation

$-3x - 6 = 54$

Step3: Isolate the variable term

$-3x = 54 + 6$
$-3x = 60$

Step4: Solve for $x$

$x = \frac{60}{-3}$

Answer:

$x = -20$