Researchers wondered what the average braking distance is for new cars traveling at 60 MPH. They randomly sampled 40 new cars made by two different companies. For each car, the same driver obtained a speed of 60 MPH and then pushed on the brake pedal as hard as she could. The average stopping distance for these 40 cars was 155.2 feet. Suppose sigmais known to be 12 feet. Assume that braking distances of the cars is independent. Are the other conditions satisfied to use the one-sample z-methods to construct a confidence interval?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.