Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make? Although she has the correct equation, she needs to sell each necklace for $12.50.
Although she has the correct solution, she should have used the equation 8 (x minus 2.75) = 78.
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
The equation should be StartFraction 1 over 8 EndFraction (x minus 2.75) = 78, and she needs to sell each necklace for $75.25.

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.