Tv circuit has 30 large-screen televisions in a warehouse in erie and 60 large-screen televisions in a warehouse in pittsburgh. thirty-five are needed in a store in blairsville, and 40 are needed in a store in youngstown. it costs $19 to ship from pittsburgh to blairsville and $23 to ship from pittsburgh to youngstown, whereas it costs $21 to ship from erie to blairsville and $26 to ship from erie to youngstown. how many televisions should be shipped from each warehouse to each store to minimize the shipping cost? hint: if the number shipped from pittsburgh to blairsville is represented by x, then the number shipped from erie to blairsville is represented by 35 − x.

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.