Question

quadrilateral rstu is a parallelogram. what must be the value of x? 2 4 5 10

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \( UV = VS \).
This gives the equation \( x - 3=3x - 13 \).

Step2: Solve the equation for \( x \)

Subtract \( x \) from both sides: \( - 3=2x - 13 \).
Add 13 to both sides: \( 10 = 2x \).
Divide both sides by 2: \( x = 5 \).

Answer:

\( 5 \) (the third option)