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 h. 33 17 h h h h h h h h h h equation: 33+17=10h-17+17 h =

Explanation:

Step1: Analyze the problem statement

The green line length is 33, the blue line length is 17, and the black line is composed of 10 segments each of length \( h \), so the black line length is \( 10h \). The equation from the problem is \( 33=10h - 17 \) (the given equation in the box seems incorrect, let's correct it first. The correct equation based on "green line length = black line length - blue line length" is \( 33=10h - 17 \)).

Step2: Solve for \( h \)

First, add 17 to both sides of the equation \( 33 = 10h-17 \) to isolate the term with \( h \).
\( 33 + 17=10h-17 + 17 \)
\( 50 = 10h \)

Step3: Divide both sides by 10

To solve for \( h \), divide both sides of the equation \( 50 = 10h \) by 10.
\( \frac{50}{10}=\frac{10h}{10} \)
\( 5 = h \)

Answer:

\( h = 5 \)