Question

1. write an equation that says that the length of the green line is equal to the length of the black line. combine like terms.
2. then solve for s.

green line with length 18
black line divided into two segments: s and 5
equation:
( s = )

Explanation:

Part 1: Write the Equation

Step1: Analyze the lengths

The green line has length 18. The black line is composed of two segments: \( s \) and 5, so its total length is \( s + 5 \).

Step2: Set them equal

Since the lengths are equal, the equation is \( s + 5 = 18 \).

Step1: Subtract 5 from both sides

To isolate \( s \), we subtract 5 from both sides of the equation \( s + 5 = 18 \).
\( s + 5 - 5 = 18 - 5 \)

Step2: Simplify

Simplifying both sides gives \( s = 13 \).

Answer:

\( s + 5 = 18 \)

Part 2: Solve for \( s \)