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. 6 d 15 equation: d =

Explanation:

Part 1: Writing the Equation

Step1: Identify lengths

Green line length: \( 6 \), Black line length: \( 15 \), Blue line length: \( d \).

Step2: Translate the relationship

The equation is \( 6 = 15 - d \).

Step1: Isolate \( d \)

Add \( d \) to both sides: \( 6 + d = 15 \).

Step2: Subtract 6 from both sides

\( d = 15 - 6 \).

Step3: Calculate the result

\( d = 9 \).

Answer:

\( 6 = 15 - d \)

Part 2: Solving for \( d \)