The football coach is overseeing the installation of new goal posts on the football field. he is wondering if the goal posts are at the regulation height, which is 20 feet, measured from the ground to the top of the post. one afternoon, the coach, who is 6 feet tall, measured his own shadow at 4 feet long. he measured the shadow of the goal post as 12 feet long. is the goal post at the regulation height? a. yes, since the ratios of the corresponding sides are proportional. b. yes, since the ratios of the corresponding sides are congruent. c. not enough information is given. d. no, since the ratios of the corresponding sides are not proportional.

Figure lmno is located at l (1, 1), m (4, 4), n (7, 1), and o (4, −2). use coordinate geometry to best classify quadrilateral lmno.

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

You are shooting hoops after school and make 152 out of a total of 200. what percent of shots did you make? what percent did you miss? show proportion(s).