Triangle ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of angle ADE is 36°. (First Figure)
The following flowchart with missing statements and reasons proves that the measure of angle ECB is 54°:
(Second Figure)
Which statement and reason can be used to fill in the numbered blank spaces?

1.Measure of angle AED is 36°
2.Base Angle Theorem
3.Corresponding angles are congruent

1.Measure of angle AED is 54°
2.Base Angle Theorem
3.Alternate interior angles are congruent

1.Measure of angle AED is 54°
2.Triangle Sum Theorem
3.Alternate interior angles are congruent

1.Measure of angle AED is 54°
2.Triangle Sum Theorem
3.Corresponding angles are congruent

  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).

answer: f true

step-by-step explanation:

step-by-step explanation:

no of data

divide by no of mode

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c