A city parks and recreation department needs to relocate a swing set so that it is farther away from a new jungle gym that is being installed. The swing set will be reset 48 feet north and 16
feet east of its original position. Assuming the positive y-axis on a coordinate plane is north,
which function represents the translation coordinates of the swing set?

15m is what percent of 60m; 3m; 30m; 1.5 km? the last one is km not m

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

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.