Answer:
<h2>k = 60</h2>Step-by-step explanation:
<em>The complete problem is attached.</em>
From the interception of two parallels lines and a transversal, results 8 angles, which are related, there are certain pair of angles that are congruent. We have alternate angles, which can be exterior or interior, we have corresponding angles, and vertical angles, all of those pairs are always congruent.
In the graph, we see that the given angles are alternate exterior angles, which always are congruent. So, we can equalize that pair and solve the equation for <em>k:</em>
<em></em>
Therefore the value of <em>k </em>is 60. The correct answer is the third one.
(Pay attention on the definition we used, just basing on alternate angles we could find a relation to find <em>k</em>, in most of the cases you solve geometric problems like that, looking for the ways to find a relation that allow you to answer the question).
Answer:
Step-by-step explanation:
I assume your equation to solve is
When we have a product of two factors equal to zero,
The solution is either A = 0 or B = 0.
In this case, this means that we can break the equation into two equations:
Solving the first one, we get:
For the second one, we rewrite it as:
And we see that this equation has two solutions:
Therefore, the three solutions are:
Answer:
Option B. all real numbers
Step-by-step explanation:
We have
and
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:
Then:
The domain of the function f(g(x)) is the range of the function .
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b:
And his domain is all real.
Answer:
S = (-8, 0 )
Step-by-step explanation:
