Set up and solve an equation:
3(90-x) = (180-x).  Then  270 - 3x = 180 - x, or   270 - 180 = 2x.
                                                                               90 = 2x, so x = 45 deg.
Is this true?     3(90-45) = (180-45)?  If so, x = 45 degrees is correct.
        
             
        
        
        
The large cup is best to buy. This is because it costs 11 cents per ounce for the medium cup and 11 cents for the large cup as well. You get almost double the amount for the same price with the large cup.
        
             
        
        
        
We are given 
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides 
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines

now, we can plug values



Calculation of AC:

now, we can plug values



Perimeter:

we can plug values


Area:
we can use formula 

now, we can plug values

 ...............Answer
...............Answer
 
        
                    
             
        
        
        
Answer:
( -2 , -1 ) , ( -2 , 3 ) , ( 1 , 0 ) 
if you need any other help , please let me know [ you'll have to pay ]
 
        
             
        
        
        
Answer:
The original bill was $25.26
Step-by-step explanation:
To find the original bill, you need to divide the amount paid by the percentage paid. Since the tip was 21.5% on top of the full amount already, we know she paid 121.5%. So we can divide the cost by that. 
$30.69/121.5% = $25.26