Question

given pqrs, solve for x.

a. 4
b. 2
c. 1
d. 3

Explanation:

Step1: Recall the property of a parallelogram

In a parallelogram, opposite sides are equal. So, \(SP = RQ\) and \(SR=PQ\). Here, we use \(SR = PQ\).

Step2: Set up the equation

Given \(SR=2 + x\) and \(PQ = 6x-3\). Then \(2 + x=6x - 3\).

Step3: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(2=6x - 3-x\), which simplifies to \(2 = 5x-3\).
Add 3 to both sides: \(2 + 3=5x\), so \(5 = 5x\).
Divide both sides by 5: \(x=\frac{5}{5}=1\).

Answer:

C. 1