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. equation: m =

Explanation:

Step1: Form the equation

The black line is composed of segments \( m \), \( 3m \), and \( 16 \), and the green line is \( 48 \). So the equation is \( m + 3m + 16 = 48 \).

Step2: Combine like terms

Combine \( m \) and \( 3m \): \( 4m + 16 = 48 \).

Step3: Subtract 16 from both sides

\( 4m + 16 - 16 = 48 - 16 \), which simplifies to \( 4m = 32 \).

Step4: Divide by 4

\( \frac{4m}{4} = \frac{32}{4} \), so \( m = 8 \).

Answer:

Equation: \( m + 3m + 16 = 48 \)
\( m = 8 \)