Two angles are given as complimentary, the larger angle is twice the measure of the smaller angle. what measure is the smaller angle?

The smaller angle is 30 degrees.

Step-by-step explanation:

Let the two angles be x and y, and replace y with 2x, since y is twice x.  Then x + y = 90 degrees (complementary angles), and x + (2x) = 90.  

Solving for x:  3x = 90, and x = 30.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation: