Question

question 5 of 10 if pqrs is a parallelogram, what is the value of y? s 11 r 13 1/4y p 11 q a. 44 b. 60 c. 52 d. 26 e. 48 f. cannot be determined

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - sides are equal.
In parallelogram \(PQRS\), \(SP = RQ\).
We know that \(SP = 13\) and \(RQ=\frac{1}{4}y\).
So, we set up the equation \(\frac{1}{4}y=13\).

Step2: Solve the equation for \(y\)

Multiply both sides of the equation \(\frac{1}{4}y = 13\) by \(4\) to isolate \(y\).
\(y=13\times4\).
\(y = 52\).

Answer:

C. 52