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Tema [17]
3 years ago
5

Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre

ated by the intersecting lines? Explain.
Mathematics
1 answer:
Rudik [331]3 years ago
3 0
Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.

Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)
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Please help! 12 points
Ivahew [28]

Answer:

Step-by-step explanation:

sin2x = 2sinx*cosx

         = 2\sqrt{sin^{2}x } * cosx

         = 2\sqrt{(1-cos^{2}x } * cosx

         = 2  \sqrt{1-\frac{3}{5} ^{2} } *\frac{3}{5}

         = \frac{8}{5}  * \frac{3}{5}  

         = 24/25        

8 0
3 years ago
Lucky and Ajay are given some money each week.
anyanavicka [17]

The answer seems to be C

4 0
3 years ago
Read 2 more answers
Could someone please help me on this question
xeze [42]

the answer is 8! hope that helps


3 0
3 years ago
Suppose that 50% of all babies born in a particular hospital are boys. If 6 babies born in the hospital are randomly selected, w
WINSTONCH [101]

Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, the values of the parameters are given as follows:

n = 6, p = 0.5.

The probability that fewer than 3 of them are boys is given by:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.5)^{0}.(0.5)^{6} = 0.0156

P(X = 1) = C_{6,1}.(0.5)^{1}.(0.5)^{5} = 0.0938

P(X = 2) = C_{6,2}.(0.5)^{2}.(0.5)^{4} = 0.2344

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0156 + 0.0938 + 0.2344 = 0.3438

0.3438 = 34.38% probability that fewer than 3 of them are boys.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
What is the length of a diagonal of a rectangle 9m long and 5m wide?
Zarrin [17]
Pythagorean Theorem: a^2 + b^2 = c^2

(5)^2 + (9)^2 = c^2
25 + 81 = c^2
106 = c^2
c = square root of 106

Length of a diagonal of a rectangle is square root of 106.
8 0
3 years ago
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