There were 56 corn dogs sold at the fair in one hour. A total of 448 tickets were collected for the corn dogs. How many tickets are needed to purchase 30 corn dogs?

Line u passes through points (-52, -18) and (-29, 53). line v passes through points (90, 33) and (19, 56). are line u and line v parallel or perpendicular?

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.

The key on a road map has a scale factor of 1.5 inches = 50 miles. the distance between santa fe and albuquerque measures 7.5 inches. the distance between santa fe and taos is 0.75 inches. what is the actual distance between the cities?