Question

write an equation that says that the length of the green line is equal to the length of the black line. combine like terms. then solve for v. equation: v =

Explanation:

Step1: Set up the equation

The length of the green line is 15. The length of the black line is the sum of \( v \) and \( 2v \), so we set up the equation \( v + 2v = 15 \).

Step2: Combine like terms

Combine \( v \) and \( 2v \) to get \( 3v \), so the equation becomes \( 3v = 15 \).

Step3: Solve for \( v \)

Divide both sides of the equation \( 3v = 15 \) by 3: \( v=\frac{15}{3}=5 \).

Answer:

Equation: \( v + 2v = 15 \) (or \( 3v = 15 \) after combining like terms)
\( v = 5 \)