A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even​ number, you get a ​% discount on your purchase that day. If the card is an odd number greater than​ 6, you get a ​% discount.​ Otherwise, you get a ​% discount. The table shows the results of customers. What is the relative frequency for each​ discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the ​% ​discount, does this seem like an appropriate​ method? 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.