Answer:
Police and icecream are alternate interior angles. So is the bakery and deli.
Step-by-step explanation:
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Step 2 is wrong and i don't know the other question
        
                    
             
        
        
        
Answer:
if he uses 1/2 for 2/3, then you can divide 2/3 and 1.2 by 2 to get the remaining soap needed to complete the wash
so to clean the last 1/3 of the car, he`ll use 1/4 of the remaining soap
the entire car needs <u><em>3/4 of a bottle of soap</em></u>
 
        
             
        
        
        
Answer:
x = -7
Step-by-step explanation:
Make an equation:
3x + 33 = 12
3x = -21
x = -7
 
        
                    
             
        
        
        
The correct answer is:  [B]:  " (2, 5) ".
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Given:
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  -5x + y = -5 ;
  -4x + 2y = 2 .
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  Consider the first equation:
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-5x + y = -5 ;  ↔ y + (-5x) = -5 ; 
↔ y - 5x = -5 ;  Add "5x" to each side of the equation; to isolate "y" on one side of the equation; and to solve in terms of "y".
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   y - 5x + 5x = -5 + 5x  
   y = -5 + 5x ;  ↔ y = 5x - 5 ;
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 Now, take our second equation:
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     -4x + 2y = 2 ; and plug in "(5x - 5)" for "y" ;  and solve for "x" :
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         -4x + 2(5x - 5) = 2 ; 
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Note, 2(5x - 5) = 2(5x) - 2(5)  = 10x - 10 ;
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So:   -4x + 10x - 10 = 2 ; 
On the left-hand side of the equation, combine the "like terms" ;
-4x +10x = 6x ;  and rewrite:
6x - 10 = 2  ; 
Now, add "10" to each side of the equation:
6x - 10 + 10 = 2 + 10 ;
to get:
           6x = 12 ;  Now, divide EACH side of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ; 
           6x/6 = 12 / 6 ;
 
                 x = 2 ; 
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Now, take our first given equation; and plug our solved value for "x" ; which is "2" ; and solve for "y" ;
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-5x + y = -5  ;
-5(2) + y = -5 ;
-10 + y = -5 ;  ↔ 
                              y - 10 = -5  ; 
Add "10" to each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ; 
      
         y - 10 + 10 = -5 + 10 ; 
                   y = 5 .
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So, we have, x = 2 ; and y = 5 .
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Now, let us check our work by plugging in "2" for "x" and "5" for "y" in BOTH the original first and second equations:
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first equation:  
-5x + y = -5 ;
-5(2) + 5 =? -5?
-10 + 5 =? -5 ? YES!
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second equation:
-4x + 2y = 2 ;
-4(2) + 2(5) =? 2 ?
-8 + 10 =? 2 ?  Yes!
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So, the answer is:  
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          x = 2 , y = 5 ; or, "(2, 5)" ;  which is: "Answer choice: [B] " .
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