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 w. equation: w =

Explanation:

Step1: Analyze the black line segments

The black line is composed of two segments of length \( w \) and one segment of length 9. So its total length is \( w + w + 9 \), which can be simplified to \( 2w + 9 \). The green line has a length of 15. Since the lengths of the green and black lines are equal, we can write the equation: \( 2w + 9 = 15 \).

Step2: Solve the equation for \( w \)

Subtract 9 from both sides of the equation: \( 2w + 9 - 9 = 15 - 9 \), which simplifies to \( 2w = 6 \). Then divide both sides by 2: \( \frac{2w}{2} = \frac{6}{2} \), so \( w = 3 \).

Equation:

\( 2w + 9 = 15 \)

Answer:

\( w = 3 \)