The interquartile range is 12-6=6
        
                    
             
        
        
        
Answer:
See proof below
Step-by-step explanation:
We have to verify that if we substitute 
 in the equation 
 the equality is true.
Let's substitute first in the right hand side:

Now we use the distributive laws. Also, note that 
 (this also works when the power is n-2).



then the sequence solves the recurrence relation.
 
        
             
        
        
        
25. yes it's direct variation
26. yes
        
                    
             
        
        
        
The answer here is no solution
        
             
        
        
        
Answer:
x = 12 
Step-by-step explanation:
Angles in a triangle add up to equal 180 degrees
Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180 
( note that we just created an equation that we can use to solve for x ) 
we now solve for x using the equation we created 
10x - 11 + 3x - 2 + 3x + 1 = 180 
step 1 combine like terms
10 + 3x + 3x = 16x 
- 11 - 2 + 1 = -12 
we now have 180 = 16x - 12
step 2 add 12 to each side 
- 12 + 12 cancels out 
180 + 12 = 192 
we now have 192 = 16x 
step 3 divide each side by 16 
16x / 16 = x 
192 / 16 = 12
we're left with x = 12