Lacey bought tickets to use for rides at the local carnival. Each ride requires the same number of tickets. The expression 60 minus 5 x models the number of tickets Lacey has left after going on x rides. According to the model, Lacey bought Blank space 1 empty tickets and each ride needs Blank space 2 empty tickets.

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.