Mrs. Calder is trying to figure out how much she spent during the day. First she filled up her 15 gallon gas tank for $2.50 per gallon. Then she found a $10 bill on the ground which she kept. Lastly she bought a gift for a friend which was orginally $45 but was marked down 25%. How much did Mrs. Calder end up spending throughout the day?

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.