Question

in 11 and 12, use the line segment.

1. if \\(\overline{bc}\\) represents 200\\%, what is the length of a line segment that is 75\\%? explain.
2. if \\(\overline{bc}\\) represents 10\\%, what is the length of a line segment that is 100\\%? explain.

Explanation:

Step1: Find 1% length for Q11

First, calculate what 1% represents by dividing the length of $\overline{BC}$ by 200.
$\frac{8}{200} = 0.04$ cm

Step2: Calculate 75% length for Q11

Multiply the 1% length by 75 to get the 75% segment length.
$0.04 \times 75 = 3$ cm

Step3: Find 1% length for Q12

Calculate what 1% represents by dividing the length of $\overline{BC}$ by 10.
$\frac{8}{10} = 0.8$ cm

Step4: Calculate 100% length for Q12

Multiply the 1% length by 100 to get the 100% segment length.
$0.8 \times 100 = 80$ cm

Answer:

1. 3 cm
2. 80 cm