Scott trained for the marathon. On day 1, he took 70 min to run 10 km.
On day 10, he took 2 h 40 min to run 20 km.
On day 20, he took 4 h 15 min to run 30 km.
a) What was Scott's running rate, in minutes per kilometre,
for each day?
i) Day 1 ii) Day 10 iii) Day 20
b) What do you think Scott's running rate, in minutes per
kilometre, might be for the 44 km of the marathon?
How long do you think it will take him? Explain.

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.