Hildy had 2.5 oz of liquid for a science experiment. the instructions said that the experiment needed 3 oz of liquid. she went to the cabinet and got an additional 7.5 oz of liquid. did hildy get a reasonable amount of liquid out of the cabinet?
a. yes, hildy got a reasonable amount of liquid because she needed a total of 7.5 oz (2.5 × 3 = 7.5).
b. no, hildy did not get a reasonable amount of liquid because she only needed 0.5 oz (3 – 2.5 = 0.5).
c. no, hildy did not get a reasonable amount of liquid because she only needed 5.5 oz (3 2.5 = 5.5).

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.

Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x? y? z? , with vertices x? (4, -2), y? (4, -3), and z? (1, -4). the type of transformation that triangle xyz undergoes is a . triangle x? y? z? then undergoes a transformation to form triangle x? y? z? , with vertices x? (4, 2), y? (4, 3), and z? (1, 4). the type of transformation that triangle x? y? z? undergoes is a .

Proving the congruent supplements theorem