Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.
Answer:
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Step-by-step explanation:
For this case we can define the following events:
A= In a certain computer a memory failure
B= In a certain computer a hard disk failure
We have the probability for the two events given on this case:

We also know the probability that the memory and the hard drive fail simultaneously given by:

And we want to check if the two events are independent.
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Answer:
the image is not clear dear, please write another question with a clear image or type it
Answer:
Step-by-step explanation:
Answer:
a = π n for n element Z
Step-by-step explanation:
Solve for a:
sec(a) + tan(a) = sec(a) - tan(a)
Subtract sec(a) - tan(a) from both sides:
2 tan(a) = 0
Divide both sides by 2:
tan(a) = 0
Take the inverse tangent of both sides:
Answer: a = π n for n element Z