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valkas [14]
3 years ago
12

Drag the missing statements and reasons to the correct spot to complete the proof

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

1. Segment MN is congruent to segment OP (Given)

2. Angle MNP is congruent to angle OPN (Given)

3. Segment NP is congruent to segment NP (Reflexive prop.)

4. Triangle MPN is congruent to triangle ONP (SAS)

5. Segment MP is congruent to segment NO (CPCTC)

Hope this helps! :)

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What are two comparisons for 225 and 300
Tom [10]

==> 225  is  75%  of  300 .
==> 225  is  25%  smaller than  300 .
==> 225  is  3/4  of  300 .
==> 300  is  4/3  the size of  225 .
==> 300  is  (33 and 1/3)%  bigger than 225 .
==> 225  is  75  less than  300 . 
==> 225  has  10  fewer factors than  300  has.
==> 300  has  2.25  times as many factors as  225  has.
==> 225  and  300  have  5  common factors.
==> The greatest common factor of  225  and  300  is  75 .

7 0
3 years ago
Si el capital es 10000000 y el porcentaje es 21% anual, ¿cuánto capital se obtiene luego de 2 años
erik [133]

Step-by-step explanation:

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7 0
3 years ago
And This PLZ PLZ PLZ PLZ PLZ PLZ PLZ
Goshia [24]
The fastest way to find the missing endpoint is to determine from the known endpoint to the midpoint and then performing the same transformation on the midpoint.  

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5 0
3 years ago
Assume that there is a 8​% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive wit
romanna [79]

Answer:

0.9936 = 99.36% probability that during a​ year, you can avoid catastrophe with at least one working​ drive

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it works, or it does not. The probability of a disk working is independent of any other disk, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Assume that there is a 8​% rate of disk drive failure in a year.

So 100 - 8 = 92% probability of working, which means that p = 0.92

Two disks are used:

This means that n = 2

What is the probability that during a​ year, you can avoid catastrophe with at least one working​ drive?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{2,0}.(0.92)^{0}.(0.08)^{2} = 0.0064

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0064 = 0.9936

0.9936 = 99.36% probability that during a​ year, you can avoid catastrophe with at least one working​ drive

8 0
3 years ago
Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.
Tema [17]

We are given the functions:

f(x) = 4 x – 5                       ---> 1

g(x) = 3 x + 7                       ---> 2

 

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

 

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

5 0
3 years ago
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