Which triangle below has the greatest area? A Triangle
B Triangle ll
C Triangle Ill
D They all have the same area,

As we know,

Area of a triangle = 1/2 × base × height. and we can observe in the figure that each of the Triangles has same base as well as Height, therefore they have same area as well.

So, correct choice is D. They all have the same area

D They all have the same area

Step-by-step explanation:

As all three triangles have the same base length (4 units) and same height (7 units), they all have the same area.

Proof:

Triangle I

Triangle II

Triangle III

  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).

m

step-by-step explanation: