Find the lengths of DE and EF. Note: Segments BC and DF are parallel        
      
                
     
    
     
    
    
    2  answers:
            
               
               
                
                
Answer: 
C
Step-by-step explanation: 
Given that Segments BC and DF are parallel, then the following proportion must be satisfied:
BE/EC = DE/EF
Replacing with data from the picture:
3/5 = (5x - 4 + 3)/(5 + 4x + 2)
3*(7 + 4x) =  (5x - 1)*5
21 + 12x = 25x - 5
21 + 5 = 25x - 12x
26 = 13x
x =  2
Then, 
DE =  5x - 4 + 3 = 5(2) - 4 + 3 = 9 cm
EF = 5 + 4x + 2 = 5 + 4(2) + 2 = 15 cm
 
                                
             
                    
               
               
                
                
Answer: 
the answer is c
Step-by-step explanation: 
you have to create a proportion ( it being 5x-4/3=4x+2/5) then after you cross multiply from that proportion you plug in x. and don't forget to add the other part of the triangle as well.
 
                                
             
         	
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