Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
2 answers:
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<h2>Answer:</h2>
The number of possible arrangements is : 120
<h2>Step-by-step explanation:</h2>We know that in order to find the different arrangements which are possible we need to use the method of permutation.
The arrangement of a given word is calculated as the ratio of the factorial of number of letters to the product of factorial of numbers the number of times each letter is repeating.
The word is given to be:
ALASKA
There are a total of 6 letters in the given word
Out of which a letter "A" is repeating 3 times.
Hence, the number of arrangements possible are:
You gotta combine like terms which would be 9x and 12x which gives you 21x .
first polygon
ext. angle=180°-120°
=60°
n=360°/60°
n=6
second polygon
n=2(6)=12
ext. ang= 360°/n = 360°/12° = 30°
int. ang = 180°-30°= 150°
answer is C