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: h =

Explanation:

Part 1: Writing the Equation

Step 1: Identify lengths

Green line length: \( 33 \)
Black line length: \( 10h \) (since there are 10 segments of length \( h \))
Blue line length: \( 17 \)

Step 2: Set up equation

Green length = Black length - Blue length
\( 33 = 10h - 17 \)

Step 1: Add 17 to both sides

\( 33 + 17 = 10h - 17 + 17 \)
\( 50 = 10h \)

Step 2: Divide by 10

\( \frac{50}{10} = \frac{10h}{10} \)
\( 5 = h \)

Answer:

(Equation):
\( 33 = 10h - 17 \)

Part 2: Solving for \( h \)