Question

quadrilateral vwzy is a rectangle. uv = 18y, and uw = y + 80. what is the value of y?

diagram of rectangle vwzy with diagonals intersecting at u

y = \boxed{}

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, diagonals bisect each other, so $UV = UW$.

Step2: Set up equation

Substitute given expressions: $18y = y + 68$.

Step3: Solve for y

Subtract $y$ from both sides: $18y - y = 68$
$17y = 68$
Divide by 17: $y = \frac{68}{17}$

Answer:

$4$