Given:
In a right angle triangle, the measure of exterior angle is .
The measure of opposite interior angle is .
To find:
The value of x.
Solution:
Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.
Using exterior angle theorem, we get
Isolate the variable x.
The value of x is 15. So, the measure of the exterior angle is:
Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.
Answer:
The maximum rate of change is between second 15 and second 19.
Step-by-step explanation:
See the attached table.
The table shows the total distance a spider traveled after a light was turned on.
Now, the average rate of change between two consecutive times in the table is given by
=
Therefore, between second 5 and second 11, the average rate of change =
Between second 11 and second 15, the average rate of change =
Between second 15 and second 19, the average rate of change =
Between second 19 and second 28, the average rate of change =
Therefore, the maximum rate of change is between second 15 and second 19. (Answer)
