I'm gonna send you a picture because it'll explain the answer better

1. Both are corresponding angles, hence they both are equal, so,

Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,

Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,

Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,

Ans. A) 6
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Negative exponents work like this:

So, in order to evaluate a negative exponent, you simply have to invert the base, and then raise to the positive equivalent of the exponent.
As an example, here are the first three exercises:



You can work out the rest applying this logic.
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
Answer:
-5
Step-by-step explanation: