The angles of a triangle will always add up to be 180 degrees total.
x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12
Answer: x = -12
        
             
        
        
        
X is equal to 2 because thirty divide fifteen is two
        
             
        
        
        
Answer:
A
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,  is the null hypothesis value,
 is the null hypothesis value,  is the standard deviation and n is the size of the sample.
 is the standard deviation and n is the size of the sample.
In this problem:

So



The value of the test statistic is 
 
        
             
        
        
        
Answer: 220
<u>Step-by-step explanation:</u>
Children (x): $2
Teens (y): $3, 
Adults: (z): $5
Quantity: x + y + z = 570  ⇒  x +  + z = 570  ⇒ 1.75x + z = 570
 + z = 570  ⇒ 1.75x + z = 570  
Cost: 2x + 3y + 5z = 1950  ⇒  2x + 3 + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950
 + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950
Qty:    1.75x +  z =  570  →  5(1.75x +  z =  570)  →    8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>
                                                                                   4.50x        =   900
                                                                                           x       =    200
Teens (y):  
 
            y =  
 
              =  
 
              = 150
Quantity: x + y + z = 570   
               200 + 150 + z = 570
                      350     + z = 570
                                     z = 220