Answer:
p//q 
Step-by-step explanation:
p and q are parallel since the exterior angles are congruent
 
        
             
        
        
            
            
                What is the third quartile of the following data set?<br>
20, 21, 24, 25, 28, 29, 35, 36, 37, 43, 44 
                ivolga24 [154]             
         
        
Answer:
37
Step-by-step explanation:
Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.
Next, proceed with the calculation. The formula for finding position of quartile is:

Where  means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:
 means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

So the position of third quartile is at 9th position which is 37.
Henceforth, the third quartile is 37.
 
        
                    
             
        
        
        
Answer:
2 feet by 1.25 feet
Step-by-step explanation:
The arcade floor has dimensions 120 ft by 75 ft.
The scale of the drawing on grid paper is 1 in : 5 feet. This is a reduced scale. This means that the size of the arcade floor was reduced in the drawing.
Let us simply the ratio 1 in : 5 feet.
1 foot = 12 inches
=> 5 feet =  5 * 12 = 60 inches
The ratio can be rewritten as 1 in : 60 in = 1 : 60.
Hence, multiply the individual dimensions of the arcade floor by  .
.
120 feet will be:
120 *   = 2 feet
 = 2 feet
75 feet will be:
75 *   = 1.25 feet
 = 1.25 feet
Therefore, the dimensions of the scale drawing are 2 feet by 1.25 feet.
 
        
             
        
        
        
Answer:
The first one
Step-by-step explanation:
I drew it with my graphic calculator.
 
        
             
        
        
        
Answer:
5/243
Step-by-step explanation:
4/18 × 6/18 × 5/18 = 5/243
I think