1. Write down the decimal divided by 1
2. Multiply both top and bottom by 10
3. Simplify the fraction. 
        
             
        
        
        
Answer:
 
    
   
 
    
   
 
     
     
Step-by-step explanation:
Given
Similar Triangles: ABC and DEF



Required
Determine the sides of DEF
No options were given, so I will solve on a general terms.
Since both triangles are similar, then the following relationship exists.
DEF = ABC * n
i.e.
 
     
     
Where

Assume n = 2.
So, we have:
 
    


 
     





Assume 
So, we have:
 
    


 
     





So, the possible sides are:
 
    
   
 
    
   
 
     
     
 
        
             
        
        
        
Answer: the expression for the width is x + 4
Step-by-step explanation:
The area of the rectangle is expressed as 
Area = x² + 13x + 36 square meters.
The length is expressed as 
L = x + 9 meters
To determine the expression for the width of the rectangle, we would factorize the expression for the area. Hence
x² + 13x + 36 = 0
We would find two numbers such that their sum or difference is 13x and their product is 36x². The two numbers are 9x and 4x. Therefore, 
x² + 9x + 4x + 36 = 0
x(x + 9) + 4(x + 9) = 0
(x + 4)(x + 9)
Therefore, the expression that represents the width of the rectangle is x + 4
 
        
             
        
        
        
Answer:
sure
Step-by-step explanation:
 
        
                    
             
        
        
        
-6≤ w ≤ 2 is the answer. Hope this helps!