Answer:
   ΔDCE by ASA
Step-by-step explanation:
The marks on the diagram show AE ≅ DE. We know vertical angles AEB and DEC are congruent, and we know alternate interior angles BAE and CDE are congruent. The congruent angles we have identified are on either end of the congruent segment, so the ASA theorem applies.
Matching corresponding vertices, we can declare ΔABE ≅ ΔDCE.
 
        
             
        
        
        
Answer:
6
Step-by-step explanation:
Total number of subsets is given as 

But the subset of a set consists of the proper subsets, an empty set and the set itself. 
Total number of subsets are 64
Therefore,


Comparing both sides

 
        
             
        
        
        
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
the minimum value of y=7
i hope this helps!
        
             
        
        
        
steps:
total: 13 ppl 
republicans: 4
1st person: 13-4/13 9/13
2nd person: 12-4/12 (because one person was taken out). 8/12
        
             
        
        
        
Answer:
6
Step-by-step explanation: