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. 9 c 19 equation: c =

Explanation:

Step1: Define the lengths

Let the length of the green line be \( 9 \), the length of the black line be \( 19 \), and the length of the blue line be \( c \). The problem states that the length of the green line is equal to the length of the black line minus the length of the blue line. So we can write the equation as:
\( 9 = 19 - c \)

Step2: Solve for \( c \)

To solve for \( c \), we can add \( c \) to both sides of the equation:
\( 9 + c = 19 - c + c \)
Simplifying the right side gives:
\( 9 + c = 19 \)
Then subtract \( 9 \) from both sides:
\( 9 + c - 9 = 19 - 9 \)
Simplifying both sides gives:
\( c = 10 \)

Answer:

Equation: \( 9 = 19 - c \)
\( c = 10 \)