You and your friends are going to the annual Boatnik Fair to play games and ride the rides. You are going there with $20, which is unfortunately not enough for a wristband. If every carnival-style game costs $3, and every ride costs $2, how many rides can you go on if you want to play 4 carnival games? What about if you play just 2 carnival games?

Which of the following best describes the figure?

Which expression is a factor of 12x2 + 29x – 8? x – 8 2x – 1 3x + 8 4x + 1

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.