Answer:
 B, D
Step-by-step explanation:
Supplementary Angles: Add up to 180 degrees
Angle abe and Angle Ebc add up to 180 degrees
Angle ABD and Angle DBC add up to 180 degrees
 
        
                    
             
        
        
        
If arctan 4/3 = the tangent of that angle will be 4/3 , opposite 4 over adjacent 3
Now, you only have to take the sin of that angle it's opposite 4 over hypotenuse 5. 
You will get that the answer is 4/5
hope this helps
        
             
        
        
        
Answer:
3 - x ≥ 9
Step-by-step explanation:
At least in inequality means greater than or equal to (≥)
Difference in mathematics means subtraction
The difference between a number x and 3
3 - x
is at least nine 
3 - x ≥ 9
The inequality for the sentence is 
3 - x ≥ 9
 
        
             
        
        
        
Let's make things easier by simplifying things.
y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x
Thus: y:x = 8:3
The problem would be finding y when x = 45
Let us proceed on using the previous equation and substitute x with 45 which would look like this:
y:45 = 8:3
Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:
y/45 = 8/3
Then we proceed with a cross multiplication where the equation becomes like as what is shown below:
3y = 45 * 8
From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y
3y = 360
y = 120
Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:
y = 8 when x = 3 : y = ? when x = 45
This would make you understand what approach you can use to solve the given problem.