Question

write an equation that says that the length of the green line is equal to the length of the black line minus the length of the blue line. combine like terms. then solve for d. 9 d 13 equation: d =

Explanation:

Part 1: Writing the Equation

Step1: Identify line lengths

Green line length: \( 9 \), Black line length: \( 13 \), Blue line length: \( d \).

Step2: Translate the relationship

The green line length equals black line length minus blue line length, so \( 9 = 13 - d \).

Step1: Isolate \( d \)

Start with \( 9 = 13 - d \). Add \( d \) to both sides: \( 9 + d = 13 \).

Step2: Solve for \( d \)

Subtract \( 9 \) from both sides: \( d = 13 - 9 \).

Step3: Calculate the result

\( 13 - 9 = 4 \), so \( d = 4 \).

Answer:

Equation: \( 9 = 13 - d \)

Part 2: Solving for \( d \)