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.
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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