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weqwewe [10]
3 years ago
10

Hey please answer asap!

Mathematics
2 answers:
nataly862011 [7]3 years ago
5 0

Answer:

measure of major arc BEA = 224.4°       Option D

Step-by-step explanation:

Given that, measure of inscribed angle ∠BEA = 67.8°

Firstly we will find the central angle.

Suppose O is the center of given circle

So, ∠AOB = 2∠AEB

∠AOB = 135.6°

The measure of arc AB  is same as the measure of its central angle.

So, measure of AB arc = 135.6°

Now complete circle measure = 360

Measure of major arc AEB = 360° - measure of arc AB

                                           =  360°  -135.6°

                                           = 224.4°

That's the final answer.

worty [1.4K]3 years ago
5 0

Answer:

measure of major arc BEA = 224.4°       Option D

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<h3>(a)</h3>

Let x_1, x_2, \cdots, x_{20} denote the 20 elements of set X.

Let x_1, x_2, \cdots, x_{10} denote elements of set X that are also part of set A.

For set A to be a subset of set B, each element in set A must also be present in set B. In other words, set B should also contain x_1, x_2, \cdots, x_{10}.

For set B to be a subset of set C, all elements of set B also need to be in set C. In other words, all the elements of set B should come from x_1, x_2, \cdots, x_{20}.

\begin{array}{c|cccccccc}\text{Members of X} & x_1 & x_2 & \cdots & x_{10} & x_{11} & \cdots & x_{20}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set A?} & \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{No} & \cdots & \text{No}\\[0.5em]\displaystyle\text{Member of}\atop\displaystyle\text{Set B?}&  \text{Yes}&\text{Yes}&\cdots &\text{Yes}& \text{Maybe} & \cdots & \text{Maybe}\end{array}.

For each element that might be in set B, there are two possibilities: either the element is in set B or it is not in set B. There are ten such elements. There are thus 2^{10} = 1024 possibilities for set B.

In case the question connected set A and B, and set B and C using the symbol ⊂ (proper subset of) instead of ⊆, A ≠ B and B ≠ C. Two possibilities will need to be eliminated: B contains all ten "maybe" elements or B contains none of the ten "maybe" elements. That leaves 2^{10} -2 = 1024 - 2 = 1022 possibilities.

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Set A and set B are disjoint if none of the elements in set A are also in set B, and none of the elements in set B are in set A.

Start by considering the case when set A and set B are indeed disjoint.

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