ANSWER

EXPLANATION
The given triangle is a right triangle.
It was given that,

and

Using the Pythagoras Theorem, we can determine the value of c.




The ratio is the adjacent over the hypotenuse.

We rationalize to get:

 
        
             
        
        
        
Answer:
Tennessee
Step-by-step explanation:
Memphis, Tennessee-this is not a mathematics question though, that would probably be history or geography
 
        
                    
             
        
        
        
Answer:
Below
Step-by-step explanation:
● x-20 = y+20 (1)
● 2(y-22) = x+22 (2) 
This is a system of simulataneous equations 
Let's simplify the expressions first
● x -20 = y + 20 (1) 
Add 20 to both sides 
● x -20 + 20 = y+20 +20 
● x = y + 40 (1)
● 2(y-22) = x+22 (2) 
● 2y - 44 = x +22 
Substrat 22 from both sides 
● 2y-44-22 = x+22-22
● 2y -66 = x (2)
This is the new system:
● x = y+40 (1)
● x = 2y-66 (2) 
Substract (2) from (1) 
● x-x = y+40-(2y-66)
● y+40-2y+66 = 0
● -y +106 = 0 
● y = 106
Replace y with 106 in (1) 
● x = y +40
● x = 106+40
● x = 146 
So the solutions are (146,106) 
 
        
             
        
        
        
Answer: 1/3 (x + 6)
Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)