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Romashka-Z-Leto [24]
4 years ago
7

Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. How are they alike? How are they different?

Mathematics
2 answers:
ANTONII [103]4 years ago
8 0
<span>They are alike because they both divide something.. They are different because one perpendicular bisector divides one side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths. Angle bisectors splits an angle of a triangle into two even degrees. </span>
katrin2010 [14]4 years ago
5 0

Answer:

Step-by-step explanation:

The perpendicular bisectors and angle bisectors are alike in one manners that they both divide the entities they are drawn at.

Perpendicular bisector bisect the sides of triangle in two equal halves and angle bisectors divides the angles to which they are drawn in two equal halves.

The difference is that ,

the point at which perpendicular bisectors meet, is the center of circumcircle which is drawn through the vertices of triangle

the point at which angle bisectors are met, is called the incenter , and is the center of incircle inscribed in a triangle touching its three sides.

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Determine which postulate or theorem can be used to prove that<br> REM= DME.
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Answer:

SSS

Step-by-step explanation:

REM and DME share a side. This side is of course congruent.

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Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm an
marusya05 [52]

Answer:

The probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

Step-by-step explanation:

The complete question is:

Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm and a standard deviation of 0.002 mm Anew book will be printed on 500 sheets of this paper. Approximate the probability that the thicknesses at the entire book (excluding the cover pages) will be between 49.9 mm and 50.1 mm. Note: total thickness of the book is the sum of the individual thicknesses of the pages Do not round your numbers until rounding up to two. Round your final answer to the nearest hundredth, or two digits after decimal point.

Solution:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e S, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{S}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{S}=\sqrt{n}\sigma

The information provided is:

n=500\\\mu=0.1\\\sigma=0.002

As <em>n</em> = 500 > 30, the central limit theorem can be used to approximate the total thickness of the book.

So, the total thickness of the book (S) will follow N (50, 0.045²).

Compute the probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm as follows:

P(49.9

                               =P(-2.22

Thus, the probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

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