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dmitriy555 [2]
3 years ago
6

What is the M<2 A. 180 B. 60 C. 62 D. 118

Mathematics
2 answers:
Len [333]3 years ago
6 0

Answer:

\large{ \tt{❃ \: EXPLANATION}} :

  • We're provided : \tt{ \angle \: CDE= 60 \degree \: and \:  \angle \: CED = 58 \degree  } and we're asked to find out m \angle \: 2.

  • You should remember : The sum of angles of a triangle is always 180°.

\large{ \tt{❀ \: LET'S \: START}} :

  • Set up an equation and solve :

\boxed{ \large{ \tt{⋆ \: m \:  \angle \: d  \:  + m  \: \angle \: e + } \: m  \: \angle \: 2} = 180 \degree \tt( \: Sum \: of \: angles \: of \: a \: triangle)}

\large{ \tt{↦ \: 60 \degree + 58 \degree + m  \: \angle \: 2} = 180 \degree}

\large{ \tt{↦118 \degree + m \angle \: 2 \:  = 180 \degree}}

\large{ \tt{↦ \: m \angle \: 2 = 180 \degree - 118 \degree}}

↦ \boxed{\large{ \tt{m \:  \angle \: 2 = 62 \degree}}}

  • \boxed{ \boxed{ \large{ \tt{⇝ \: OUR \: FINAL \: ANSWER  :  \boxed{ \underline{ \tt{C. \: 62 \degree}}}}}}}

۵Hope I helped! ツ

♪Have a wonderful day / evening ! ☼

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oksano4ka [1.4K]3 years ago
5 0

Answer:i tk 180

Step-by-step explanation:

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How many possible committees of 4 people can be chosen from 15 men and 20 women so that at least two women should be on each com
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<span>If there has to be 2 men and 2 women, we know that we must take a group of 2 men out of the group of 15 men and a group of 2 women out of the group of 20 women. Therefore, we have:

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<span>If there has to be 1 man and 3 women, we know that we must take a group of 1 man out of the group of 15 men and a group of 3 women out of the group of 20 women. Therefore, we have:

(15 choose 1) x (20 choose 3)


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<span>We now find the total outcomes of having a group with 4 women.

We know this is the same as saying (20 choose 4) = 4845</span>

Therefore, there are 4845 ways to have a group of 4 with 4 women.

 

We now add the outcomes of 2 women, 3 women, and 4 women and get the total ways that a committee can have at least 2 women.

 

19950 + 17100 + 4845 = 41895 ways that there will be at least 2 women in the committee


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