Abiologist created the following graph to show the relationship between the temperature of water (x), in degrees celsius, and the number of insect larvae (y) in the water: graph of y equals minus 2 times the square of x plus 20 times x plus 400 what does the peak of the graph represent? the number of larvae is greatest at 450 degrees celsius. the number of larvae is greatest at 5 degrees celsius. the least number of larvae in the water is 450. the least number of larvae in the water is 5.

Answer : The number of larvae is greatest at 5 degrees Celsius.

Given the equation

x is the temperature of water in degrees Celsius, and y is the number of insect larvae in the water

Peak of the graph is the vertex

Now we find out the vertex from the given equation

To find x coordinate of vertex we use formula x=

a= -2, b= 20

So x=

x =

x = 5

Now we find out y

Plug in 5 in the place of x

y= 450

Vertex is (5,450)

It means the number of larvae reaches the maximum of 450 at 5 degree Celsius

Hence , the number of larvae is greatest at 5 degrees Celsius.

∠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.