Step-by-step explanation:
We have been given that AE=BE and
.
We can see that angle CEA is vertical angle of angle DEB, therefore,
as vertical angles are congruent.
We can see in triangles CEA and DEF that two angles and included sides are congruent.


or
Therefore,
by ASA postulate.
Since corresponding parts of congruent triangles are congruent, therefore CE must be congruent to DE.
Answer:
,, assuming the true mean temperature 62 degrees Fahrenheit there is a 0.1% probability that the null hypothesis is true by chance alone
Answer:

Step-by-step explanation:
We are given the following function in the question:

We have to graph this function.
Properties of given function are:
- e is a constant and have a value of e = 2.718281828....
- The function does not pass through origin
- At x = 0, f(x) = 4
- The domain for the given function is all real numbers.
- The range of the given function is

The attached image shows the graph for given function.
Answer:
See below.
Step-by-step explanation:
First, we can see that
.
Thus, for the question, we can just plug -1 in:

Saying undefined (or unbounded) will be correct.
However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words,
will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.