Mariel plans to run at least 5 miles each week for her health. Mariel has a circular route in the neighborhood to run. Once around that route is 420 yards. If Mariel runs that route 30 times during the week, will she cover at least 5 miles? Answers
A: No, because 5 miles is ___ yards, and 30 times around the route is yards, which is the less than 5 miles.
B: Yes, because 5 miles yards, and 30 times around the route is ___ yards, which is greater than 5 miles.

Asegment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint?

If m 17 27 90 63 ** picture is attached

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.