Question

student belcher, cash
properties of parallelograms
solve for the unknown
variable (x).
answer: round to whatever you
see in the problem.

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, opposite sides are equal. So \(DE=CF\).

Step2: Set up the equation

Given \(DE = 23\) and \(CF=3x - 7\), we have the equation \(3x-7 = 23\).

Step3: Solve the equation for \(x\)

Add \(7\) to both sides: \(3x=23 + 7\), so \(3x=30\).
Divide both sides by \(3\): \(x=\frac{30}{3}=10\).

Answer:

\(x = 10\)