Question

quadrilateral vwxy is a square. what is vy?
$9v-39$
$6v-18$
$vy = \square$

Explanation:

Step1: Set sides equal (square property)

$6v - 18 = 9v - 39$

Step2: Solve for $v$

$39 - 18 = 9v - 6v$
$21 = 3v$
$v = \frac{21}{3} = 7$

Step3: Calculate side length

Substitute $v=7$ into $6v-18$:
$6(7) - 18 = 42 - 18 = 24$

Step4: VY equals square side length

All sides of a square are congruent, so $VY = 24$

Answer:

24