Step-by-step explanation:
x + 107 + 34 = 180 
x + 141 = 180
x. = 180 - 141 
x = 39 
the above method can be used if the angles are the interior angles of triangle or for all angles in a straight line .
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6-8)^2+(4+5)^2
d^2=4+81
d^2=85
d=(85)^(1/2)
d=9.22 (rounded to nearest hundredth)
 
        
                    
             
        
        
        
Answer:
No solution
Step-by-step explanation:
Actually, you have only one equation here.  We will solve it for x.
Performing the indicated multiplication, we obtain:
10-2(2x+1)=4(x-2)  =>  10 - 4x - 2 = 4x - 8, or 10 - 2 = -8.  This can never be true, so this equation has no solution.
 
        
                    
             
        
        
        
Answer:
???? i dont understand
Step-by-step explanation:
i think yes
 
        
             
        
        
        
<h3>
Answer:  19 dimes</h3>
=================================================
Work Shown:
d = number of dimes
q = 32-d = number of quarters
$5.15 = 515 cents
10d+25q = 515
10d+25(32-d) = 515
10d+800-25d = 515
-15d+800 = 515
-15d = 515-800
-15d = -285
d = -285/(-15)
d = 19
There are 19 dimes. You can stop here if you want.
q = 32-d = 32-19 = 13
There are 13 quarters
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Check:
1 dime = 10 cents
19 dimes = 19*10 = 190 cents
1 quarter = 25 cents
13 quarters = 13*25 = 325 cents
total value = 190 cents + 325 cents = 515 cents = $5.15
The answer is confirmed.