Question

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

Explanation:

Step1: Analyze the line lengths

The green line has length 3, the black line has length 9, and the blue line is composed of 3 segments each of length \( m \), so its length is \( 3m \). The equation is \( 3 = 9 - 3m \).

Step2: Solve the equation for \( m \)

First, rewrite the equation: \( 3m = 9 - 3 \)
Simplify the right side: \( 3m = 6 \)
Then divide both sides by 3: \( m = \frac{6}{3} = 2 \)

Answer:

Equation: \( 3 = 9 - 3m \)
\( m = 2 \)