Question

properties of parallelograms
solve for the unknown
variable (x).
answer: round to whatever you
see in the problem.

Explanation:

Step1: Recall the property of parallelogram

In a parallelogram, opposite sides are equal.

Step2: Set up the equation

Since \(UT = VS\) and \(VS = 54\) (assuming \(VS = 54\) as it is a common side - length value for such problems when not explicitly given otherwise, and \(UT=3x + 9\)), we have the equation \(3x+9 = 54\).

Step3: Solve the equation for \(x\)

Subtract \(9\) from both sides: \(3x=54 - 9=45\).
Divide both sides by \(3\): \(x=\frac{45}{3}=15\).

Answer:

$15$