Answer:
76  14/20
(76  7/10) simplified
Step-by-step explanation:
First we make the denominator of the fraction equal
82  15/20
24  16/20
18   15/20
We then subtract
82 15/20 -  24 16/20
81  35/20 - 24 16/20 = 
57  19/20
Then we add 
57  19/20 + 18 15/20= 
76  14/20
(76  7/10) simplified
 
        
             
        
        
        
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form:  , where c is a constant. The coefficients a, b, and the constant c can be found.
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:

Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:

 
        
             
        
        
        
Multiply 12 and 3 and you will get four. four is like 1 over 4: 1/4
        
             
        
        
        
The square root of 700 is about 26.45, so it lies between 26 and 27
        
                    
             
        
        
        
Answer:
B) no, because the corresponding angles are not congruent
Step-by-step explanation:
Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.
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