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Elis [28]
3 years ago
10

In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x+10, what is the measure of angle 2?

Mathematics
2 answers:
hram777 [196]3 years ago
7 0
So here is how we are going to get the measure of angle 2. 
Since given that angle COE measures 55°, we will equate <span>m∠2 = 2x and m∠3 = x+10 with 55. So, 55 = 2x + x + 10
55 = 3x + 10
55-10 = 3x
45 = 3x << divide both sides by 3 and the result is 
15 = x
So now that we know x, we can now solve for angle 2.
</span>m∠2 = 2x
m∠2 = 2(15)
m∠2 = 30<span>°
I hope that this is the answer that you are looking for. </span>
gtnhenbr [62]3 years ago
7 0

Answer:

The answer is 30

Step-by-step explanation

  • You gather what you know

COE = 55°, m∠2 = 2x, m∠3 = x + 10

  • Then you set up an equation using that information

2x + x + 10 = 55

  • Combine like terms

3x + 10 = 55

  • Find x

X= 15

  • Plug in "x = 15" to "2x" to find out what the measure of angle 2 is

2 x 15 = 30

Therefore m∠2 = 30

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P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}

P( B)=\frac{12}{12+18} =\frac{2}{5}

The conditional probability

P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}

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4 years ago
A worn out bottling machine does not properly apply caps to 5% of the bottles it fills. If you randomly select 20 bottles from t
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Probability would been equal to 0.9841 if we randomly select 20 bottles it fills.

<h3>What is Probability ?</h3>

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of the  positive results for the experiment with 'n' outcomes can also be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Given,

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Thia information gives information about binomial distribution with parameter n = 20 , p = 0.05

Let X be the number of bottles have caps that she not properly applied

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The p.m.f of X is

P( X=0)= (\frac{20}{x}) ( 0.05)ˣ (1 - 0.05)²⁰ ⁻ˣ

                                                       ; x = 0 , 1, 2.......20

                                                         0 < p < 1

                                                         q= 1 - p

= 0                                                    ; otherwise

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To know more about Probability, Visit:

brainly.com/question/11234923

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6 0
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Marco has a collection of 38 state quarters. If 3/5 of his quarters are dated 2005, what is the approximate value of the quarter
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3 years ago
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