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 m. 7 m m 1 equation: m =

Explanation:

Step1: Write the equation

The length of the green line is 7. The length of the black line is \( m + m + 1 \), which combines to \( 2m + 1 \). Setting them equal gives the equation: \( 2m + 1 = 7 \)

Step2: Solve for m

Subtract 1 from both sides: \( 2m + 1 - 1 = 7 - 1 \)
Simplify: \( 2m = 6 \)
Divide both sides by 2: \( \frac{2m}{2} = \frac{6}{2} \)
Simplify: \( m = 3 \)

Answer:

Equation: \( 2m + 1 = 7 \)
\( m = 3 \)