In triangle LaTeX: ABCA B C, the measure of angle LaTeX: AA is LaTeX: 40^\circ40 ∘. Give possible measures for angles LaTeX: BB and LaTeX: CC if triangle LaTeX: ABCA B C is isosceles. Give possible measures for angles LaTeX: BB and LaTeX: CC if triangle LaTeX: ABCA B C is right.

Step-by-step explanation:

An isosceles triangle is a triangle that has two of its sides and angles to be equal.

Given triangle ABC with <A = 40

Note that the sum of angle in a triangle is 180

<A + <B + <C =180

Since the base angle are the same, hence <B = <C

<A+<B +<B = 180

40+2<B = 180

2<B = 140

<B = 140/2

<B = 70

Since <B = <C, hence <C = 70

If triangle ABC is right angled triangle, this means that one of the angle is 90.

Since <A = 40 and one of the other two angle is 90, the third angle will be:

<A+<B<C = 180

40+90+<C = 180

130+<C = 180

<C = 180 - 130

<C = 50

Hence the possible measure of other angles will be 90° and 50°

  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).