Question

given rectangle lmno below, lp = 44. if op = -2x + 2, solve for x.

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals bisect each other. So $LP = OP$.

Step2: Set up the equation

Since $LP = 44$ and $OP=-2x + 2$, we have $-2x+2 = 44$.

Step3: Solve for $x$

First, subtract 2 from both sides: $-2x=44 - 2$, so $-2x=42$. Then divide both sides by -2: $x=\frac{42}{-2}=-21$.

Answer:

$x = - 21$