The number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes) as a function of rainfall (in
centimeters) is modeled by:
m(x) = -(x - 5)2 + 25
How many centimeters of rainfall will produce the maximum number of mosquitoes?

5 cm

Step-by-step explanation:

Given the function:

As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.

The vertex form of a quadratic function is:

where (h,k) is the vertex

Our given function have the vertex form as well, so the

(h,k) = (5,25)

At the height of 5 cm the rainfall will produce the maximum number of mosquitoes

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.