3 years ago

Describe why the prime factorization of a number is sometimes written with exponents?

1 answer:

6 0

Say you wanted to write the prime factorization of 8.
Its prime factorization <em>can</em> be written as 2 × 2 × 2, but it would be much easier to just write it as 2³ (2 times itself 3 times)

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What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).