Question

what is the value of v? 10v - 41 4v + 31 e h g v = save answer

Explanation:

Step1: Set up the equation

Since the two - sides of the triangle are equal (as indicated by the congruence markings), we set \(4v + 31=10v-41\).

Step2: Move the variable terms to one side

Subtract \(4v\) from both sides: \(31 = 10v-4v - 41\), which simplifies to \(31=6v - 41\).

Step3: Move the constant terms to one side

Add 41 to both sides: \(31 + 41=6v\), so \(72 = 6v\).

Step4: Solve for \(v\)

Divide both sides by 6: \(v=\frac{72}{6}=12\).

Answer:

12