MOKL and mHKJ are vertical angles, so they’re congruent 
so mHKJ is also 80°
        
             
        
        
        
Answer:
<h2>
43°</h2>
Step-by-step explanation:
In a cyclic quadrilateral, the sum of two opposite angles are equal.
m<R + m<P = 180°
plugging the values:
3y + 8 + y = 180°
Combine the like terms:
4y + 8 = 180°
Subtract 8 on both sides
4y + 8 - 8 = 180 - 8
Calculate the difference
4y = 172
divide both sides of the equation by 4
4y/4 = 172/4
calculate
y = 43°
Hope this helps...
 
        
                    
             
        
        
        
 From this picture you can calculate coordinates of triangles' vertices:

.
Since 
 
  
 you can conclude that points A, B, C are rotated by 

 about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.
 
        
        
        
No, -(5/11) is equivalent to -5 all over 11 so -5/11. You cannot change the denominator
        
                    
             
        
        
        
Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.