PLEASE HELP ME

A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose sides will exceed their base by 5 inches. If the perimeter is 100 inches, what are the lengths of the three sides?

The base is? , and the equal sides are ?.

An isosceles triangle has common sides a and a base b.

The perimeter is 100, so

a+a+b = 100

2a + b = 100

The sides exceed the base by 5,

a = b+5

2(b+5)+b = 100

3b + 10 = 100

3b = 90

b = 30

a = b+5 = 35

The base is 30 and the equal sides are 35.

base = 30, sides = 35

Step-by-step explanation:

The easiest way to solve your question is by creating an equation.

We can represent the perimeter as "p" and each side as "s"

s + (s + 5) + (s + 5) = p

10 + 3s = 100 (p = 100)

3s = 90

s = 30.Thus, the base = 30, and the sides are 35.

  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).