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 g. 49 g g g g 9 equation: g =

Explanation:

Part 1: Writing the Equation

Step1: Analyze the black line segments

The black line is composed of 4 segments of length \( g \) and one segment of length 9. So the total length of the black line is \( 4g + 9 \).

Step2: Set equal to green line length

The green line has length 49. So the equation is \( 4g + 9 = 49 \).

Step1: Subtract 9 from both sides

To isolate the term with \( g \), subtract 9 from both sides of the equation \( 4g + 9 = 49 \).
\( 4g + 9 - 9 = 49 - 9 \)
Simplifying gives \( 4g = 40 \).

Step2: Divide by 4

Divide both sides of \( 4g = 40 \) by 4 to solve for \( g \).
\( \frac{4g}{4} = \frac{40}{4} \)
Simplifying gives \( g = 10 \).

Answer:

Equation: \( 4g + 9 = 49 \)

Part 2: Solving for \( g \)