Question

jillianne draws parallelogram wxyz. if wz = 4s + 25 and xy = 10s - 11, what is the value of s? (1 point) o s = 44 o s = 12 o s = 6 o s = 49

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - sides are equal. So, \(WZ = XY\).
We have the equation \(4s + 25=10s - 11\).

Step2: Move terms with \(s\) to one side

Subtract \(4s\) from both sides: \(4s+25 - 4s=10s - 11-4s\), which simplifies to \(25 = 6s-11\).

Step3: Isolate the term with \(s\)

Add 11 to both sides: \(25 + 11=6s-11 + 11\), getting \(36 = 6s\).

Step4: Solve for \(s\)

Divide both sides by 6: \(\frac{36}{6}=\frac{6s}{6}\), so \(s = 6\).

Answer:

C. \(s = 6\)