Question

find uv in rectangle stuv.
uv =
submit

Explanation:

Step1: Set equal opposite sides

In a rectangle, opposite sides are equal. So $ST = UV$ and $SV = TU$. We use $SV = TU$ to solve for $w$:
$$2w - 36 = w - 7$$

Step2: Solve for $w$

Subtract $w$ from both sides, then add 36 to both sides:
$$2w - w = -7 + 36$$
$$w = 29$$

Step3: Calculate length of UV

Substitute $w=29$ into $UV = 3w - 31$:
$$UV = 3(29) - 31$$
$$UV = 87 - 31$$

Answer:

$56$