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gizmo_the_mogwai [7]
3 years ago
11

How many elements are in the set​ {x | x is an even prime​ number, x<150}​?

Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

The set {x | x is an even prime number, x<150} has 1 element.

Step-by-step explanation:

Prime Numbers: The numbers which have no factors other than 1 and the number itself are called prime numbers.  

Even Numbers are those numbers which are completely divisible by 2.

So, the only EVEN PRIME NUMBER = 2

Now, Set = {x | x is an even prime number, x<150}

So, the set has {2} as its only element.

Hence, the total elements in the set is 1.

Or, the set {x | x is an even prime number, x<150} has 1 element.

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How many sides would there be in a convex polygon if the sum of all but one of its interior angles is $1070^{\circ}$
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A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.

Lets simplify the given problem,

If we try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:

1070 =[n - 2] x 180, where n = number of sides

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n = 7.94 number of sides. Since this is not a whole number, will simply round it up to 8.

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Step-by-step explanation:

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