Answer:
see below
Step-by-step explanation:
This is a vocabulary problem, identifying the names of things on a diagram.
Angles are "interior" when they are between the "parallel" lines. They are "exterior" when they are outside those lines. They are "alternate" if they are on opposite sides of the transversal, and "same side" if they are not.
They are "vertical" if they share a vertex and have opposite rays for sides, and they are "corresponding" if they are in the same quadrant of the intersection of crossing lines. (1, 5, 9, 13 are "corresponding", for example.)
Answer: Choice B
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Explanation:
We'll be using the converse of the pythagorean theorem.
If we had a triangle with sides a,b,c and 
was true, then we have a right triangle. Note: c is always the longest side
For the first answer choice we have: a = 5, b = 8, c = 12
Then,
which is false. This shows that we do not have a right triangle with sides 5,8,12. This rules out choice A. Choice C is a similar story.
Choice B on the other hand works because
We have a true statement at the end, which confirms <u>choice B</u> is a right triangle.
Answer:
16
Step-by-step explanation:
16 (2x + y - 3)
We can use inverse sin to calculate the angle, and we get around 56 degrees (but for the answer I'll give the most accurate one). For cos we get around 55, and for tan we get .25.
I might have done tan wrong but I hope you get the point.
