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 s. green line length: 18 black line segments: s and 5 equation: \boxed{} s = \boxed{}

Explanation:

Part 1: Writing 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 lengths equal

Since the lengths of the green and black lines are equal, we write the equation: \( s + 5 = 18 \)

Part 2: Solving for \( s \)

Step1: Isolate \( s \)

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

Step2: Simplify

Simplifying both sides, we get:
\[
s = 13
\]

Answer:

Equation: \( s + 5 = 18 \)
\( s = 13 \)