Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
 
        
             
        
        
        
Answer:
x=49
Step-by-step explanation:
2(3x+1)=3(2−x)
Step 1: Simplify both sides of the equation.
2(3x+1)=3(2−x)
(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)
6x+2=6+−3x
6x+2=−3x+6
Step 2: Add 3x to both sides.
6x+2+3x=−3x+6+3x
9x+2=6
Step 3: Subtract 2 from both sides.
9x+2−2=6−2
9x=4
Step 4: Divide both sides by 9.
9x9=49
x=49
 
        
                    
             
        
        
        
Answer:
3.24
Step-by-step explanation:
1) minus the whole number, 3.6 from both sides:   
    x/2.7 +3.6 = 4.8 -----> x/2.7 = 1.2
2) multiply both sides by 2.7 to get the x value on its own:   
    x/2.7 = 1.2 -------> x = 3.24
3) finally x is on its own with a value on the other side... x = 3.24
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Sorry this is a tough one and I don’t want to give you the wrong answer sorry again