It’s 30 because they are vertical angles which means both sides are congruent
Add sin(x) to both sides
tan(x)sin(x)=sin(x)
Divide sin(x) from both sides
tan(x)=1
now you just have to figure out where tan(x)=1. you can figure this out from there by looking at the unit circle.
Answer:
1. A. 1
2. D. 
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into
by using the Power of a Power Property.
And then use the Product Property, 
So now, our fraction is this: 
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property:
or
. Which then you plug the numbers in:
. And since we know that in Zero Exponent Property:
, we can see that
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property: 
So plug the numbers in the property:
= 
Product Property: 
We plug the equation in with
turned into
---

So the answer is
, which is D
I hope this helps!
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Have a great day!
Answer: 55-1/2w=p
Step-by-step explanation: 55 is the starting weight. Therefore, you need to subtract 55 by 1/2 (the amount of weight he loses each week) times each week. This will determines the weight- (p).