Question

score: 0/5 penalty: 0.25 off
question
given parallelogram efgh below, hi = 65. if if = -2x - 7,
solve for x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(HI = IF\).

Step2: Set up the equation

Since \(HI = 65\) and \(IF=-2x - 7\), we have the equation \(65=-2x - 7\).

Step3: Solve the equation for \(x\)

Add \(7\) to both sides: \(65 + 7=-2x-7 + 7\), which simplifies to \(72=-2x\).
Divide both sides by \(-2\): \(x=\frac{72}{-2}=-36\).

Answer:

\(-36\)