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lawyer [7]
3 years ago
7

If Upper A equals StartSet x | x is an even integer EndSet commaA={x | x is an even integer}, Upper B equals StartSet x | x is a

n odd integer EndSet commaB={x | x is an odd integer}, Upper C equals StartSet 2 comma 3 comma 4 comma 5 EndSet commaC={2, 3, 4, 5}, and Upper D equals StartSet 8 comma 9 comma 10 comma 11 EndSet commaD={8, 9, 10, 11}, list the​ element(s) of the following set. C union∪ D
Mathematics
1 answer:
White raven [17]3 years ago
8 0

Answer:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Step-by-step explanation:

A={x | x is an even integer}

B={x | x is an odd integer},

C={2, 3, 4, 5},

D={8, 9, 10, 11}.

A union of two or more sets is the collection of the members of the sets in a set without repeating any element.

Given sets C and D above, the union of the two sets is the set:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Note: The Intersection is the collection of sets that are common to C and D. in this case no element is common, therefore the intersection is a Null Set.

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Answer:

Angle 1 =  108°

Angle 2 =  72°

Angle 3 =  120°

Angle 4 =  96°

Angle 5 =  144°

Step-by-step explanation:

We need to find the measures of the interior  angles in a pentagon if the measure  of each consecutive angle is in the  ratio 9:6:10:8:12.

Let x be the common ratio

So, we can write:

Angle 1 = 9x

Angle 2 = 6x

Angle 3 = 10x

Angle 4 = 8x

Angle 5 = 12x

We know that the <em>sum of all angles of pentagon = 540</em>

So, adding all angles and equal them to 540, we can find value of x

9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12

So, we get the value of x: x=12

Now, calculating the angles by putting x=12:

Angle 1 = 9x = 9(12) = 108°

Angle 2 = 6x = 6(12) = 72°

Angle 3 = 10x = 10(12) = 120°

Angle 4 = 8x = 8(12) = 96°

Angle 5 = 12x= 12(12) = 144°

6 0
3 years ago
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