Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

Answer:
B
Step-by-step explanation:
Given
f(x) = 
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 2 = 0 ⇒ x = - 2
The equation of the vertical asymptote is x = - 2
Answer:
Look below
Step-by-step explanation:
So I will use an example to try and show you how to do this.
If we have
, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be
. Our new denominator would be 6. So now we would have
which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so,
.
So our first fraction was

We then multiplied the whole fraction by the opposite denominator

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Bearing in mind that an absolute value expression is in effect a
piece-wise function with two cases, thus
Answer:
15
Step-by-step explanation: