8/6 and then m/16 is the correct answer
First of all, a positive average rate of change means that the function is increasing, so the answer can only be A->B or B->C.
The average rate of change is defined as

i.e. as the ratio between the vertical and horizontal gain.
In order to go from point A to point B, you gain 1 unit horizontally and 5 units vertically. So, the average rate of change is 5/1=5.
In order to go from point B to point C, you gain 1 unit horizontally and 3 units vertically. So, the average rate of change is 3/1=3.
Answer: |81-x|<5
Step-by-step explanation:
Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.
Temperature in the enclosure should not vary by more than 5° F.
Let x= Temperature in the enclosure
Then, difference between average and current temperature should less the 5.
i.e. |81-x|<5 (required absolute value equation )
hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:
|81-x|<5
the answer for this would be the last one. two rays that meet at a end point.
hope this helps!
Answer:
The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles. The two equal angles are called the base angles and the third angle is called the vertex angle
The triangle ABE is an isosceles triangle with the vertex angle m∠ABE equal to
so
m∠BAE=m∠AEB-------> base angles
m∠BAE+m∠AEB+m∠ABE=
------> sum of internal angles of triangle
Find m∠BAE
2m∠BAE=
m∠BAE=
The measure of the angles of triangle ABE are 
The triangle MNP is an isosceles triangle with the base angle m∠NMP and m∠NPM equal to
so
m∠MNP+m∠NMP+m∠NPM=
------> sum of internal angles of triangle
Find m∠MNP (vertex angle)
m∠MNP=
m∠MNP=
The measure of the angles of triangle MNP are 
therefore
The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)