Question

quadrilateral tuvw is a rectangle, sv = 2v + 30, and sw = 20v + 12. what is the value of v?
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submit

Explanation:

Step1: Set equal diagonals segments

In a rectangle, diagonals bisect each other, so $SV = SW$.
$2v + 30 = 20v + 12$

Step2: Isolate variable terms

Subtract $2v$ from both sides.
$30 = 18v + 12$

Step3: Isolate constant terms

Subtract 12 from both sides.
$18 = 18v$

Step4: Solve for $v$

Divide both sides by 18.
$v = \frac{18}{18} = 1$

Answer:

$v = 1$