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 j. equation: j =

Explanation:

Step1: Analyze the black line segments

The black line is composed of \( j + j + 2j + j + 11 \). Combine like terms: \( j + j + 2j + j = 5j \), so the black line length is \( 5j + 11 \). The green line length is 26. So the equation is \( 5j + 11 = 26 \).

Step2: Solve the equation for \( j \)

Subtract 11 from both sides: \( 5j + 11 - 11 = 26 - 11 \), which simplifies to \( 5j = 15 \). Then divide both sides by 5: \( \frac{5j}{5} = \frac{15}{5} \), so \( j = 3 \).

Equation:

\( 5j + 11 = 26 \)

\( j = \)

\( 3 \)

Answer:

Step1: Analyze the black line segments

The black line is composed of \( j + j + 2j + j + 11 \). Combine like terms: \( j + j + 2j + j = 5j \), so the black line length is \( 5j + 11 \). The green line length is 26. So the equation is \( 5j + 11 = 26 \).

Step2: Solve the equation for \( j \)

Subtract 11 from both sides: \( 5j + 11 - 11 = 26 - 11 \), which simplifies to \( 5j = 15 \). Then divide both sides by 5: \( \frac{5j}{5} = \frac{15}{5} \), so \( j = 3 \).

Equation:

\( 5j + 11 = 26 \)

\( j = \)

\( 3 \)