As shown in the graph below, the quadrilateral is a rectangle. Which transformation would not map the rectangle onto itself?
(1) a reflection over the r-axis
(2) a reflection over the line r = 4
(3) a rotation of 180° about the origin
(4) a rotation of 180° about the point (4,0)

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Are the corresponding angles congruent? explain why or why not.