Supplementary angles add up to 180°
-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°
 
        
             
        
        
        
Answer:
282 hr   <======= see below 
Step-by-step explanation:
Distance / rate = time 
2.4 x 10^9 mi / 85 m/hr   = 28235294 hr
  You must have left the power of 10 off of your speed 
      probably should be   8.5 x 10^6  perhaps?   then answer is 282
<h3>If speed was 8.5 x 10^5   
 then answer becomes ~ 2820   </h3>
 
        
             
        
        
        
Answer:
The value is      
Step-by-step explanation:
From the question we are told that 
    The amount charge per year is  
    The  number of members it will have at this amount is  
    The amount amount increase that will lead to the loss of a single member is   
         Generally the total amount the club would obtain from  its members is mathematically represented as 
       
Now let x denote the number of member lost 
Hence 
       
=>    
=>  
Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero
            
=>         
So from   we have
 we have 
           
            
So the amount the club should charge is    
          
          
           
 
        
             
        
        
        
The stock is worth 56.14 dollars per share. and is up 1.3%
        
             
        
        
        
Answer:
Aziza’s claim is incomplete. The third side must be between 4 in. and 26 in.
Step-by-step explanation:
With the Triangle Inequality Theorem, saying that the sum of lengths of any two sides of a triangle is greater than the length of the third side. With this we can develop two inequalities:
11 + 15 > x 
26 > x 
rewrite this as x < 26 
11 + x > 15
x > 15 - 11   Subtract 11 from both sides
x > 4 
Therefore, the third side can be anywhere greater than 4 inches and less than and less than 26 inches. 
4 <  x < 26