Question

figure cdef is a parallelogram. what is the value of r? 2r + 12 10r - 20 6r

Explanation:

Step1: Use property of parallelogram

In a parallelogram, opposite - sides are equal. So, we can set up an equation based on the fact that \(CF = DE\). We have \(10r−20 = 6r\).

Step2: Solve the equation for \(r\)

Subtract \(6r\) from both sides: \(10r−6r−20=6r - 6r\), which simplifies to \(4r−20 = 0\). Then add 20 to both sides: \(4r−20 + 20=0 + 20\), getting \(4r=20\). Divide both sides by 4: \(\frac{4r}{4}=\frac{20}{4}\), so \(r = 5\).

Answer:

D. 5