Question

1. make sense and persevere are the steepest parts of the two water slides parallel? explain.

slide 1
40 ft
72 ft
slide 2
40 ft
24 ft

Explanation:

Step1: Calculate slope of Slide 1

Slope is rise over run. For Slide 1, rise = 72 ft, run = 40 ft. So slope \( m_1 = \frac{72}{40} = \frac{9}{5} = 1.8 \).

Step2: Calculate slope of Slide 2

For Slide 2, rise = 40 ft, run = 24 ft. So slope \( m_2 = \frac{40}{24} = \frac{5}{3} \approx 1.666... \).

Step3: Compare slopes

Parallel lines have equal slopes. Since \( 1.8
eq \frac{5}{3} \), the slopes are not equal.

Answer:

The steepest parts of the two water slides are not parallel because their slopes ( \( \frac{72}{40} = \frac{9}{5} \) for Slide 1 and \( \frac{40}{24} = \frac{5}{3} \) for Slide 2) are not equal, and parallel lines must have equal slopes.