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 c.

Explanation:

Step1: Formulate the equation

The length of the black line is 15, the length of the blue line is \( c \), and the length of the green line is 3. The equation is \( 15 - c = 3 \).

Step2: Solve for \( c \)

Subtract 15 from both sides: \( -c = 3 - 15 \)
Simplify the right side: \( -c = -12 \)
Multiply both sides by -1: \( c = 12 \)

Answer:

The value of \( c \) is 12.