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liubo4ka [24]
3 years ago
12

Two triangles are similar if there is a correspondence between their angles and their sides so that all corresponding angles are

______ and all corresponding sides are _______.
Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional (this ratio is called the scale factor) and its corresponding angles are congruent

therefore

Two triangles are similar if there is a correspondence between their angles and their sides so that all corresponding angles are <u><em>congruent </em></u> and all corresponding sides are <u><em>proportional</em></u>

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zvonat [6]
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5 0
2 years ago
In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that
attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable X\sim Poisson(\lambda = 0.62).

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

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

             =1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: \lambda=7\times0.62=4.34

Compute the probability of no deaths in a corps over 7 years as follows:

P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

6 0
2 years ago
Circumference=( ) ft
Drupady [299]

Answer:

785.398 ft

Step-by-step explanation:

Circumfrence = pi * diameter

5 0
2 years ago
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Ira Lisetskai [31]

Answer:

- 4 4/5 *C

Step-by-step explanation:

12:00-6:00 is 6hrs

7/10*6 = 42/10 = 4 1/5

1 - 4 1/5 = - 4 4/5

4 0
3 years ago
one-gallon jugs of water are shipped in cartons containing 12 jugs. how many cartons are needed for 876 jugs to be shipped?
lana66690 [7]
My best guess is that 73 cartons are needed. Here's how:

876/12 ( because the jugs are shipped in cartons containing 12) = 73 

This is just a guess, I'm sorry if someone proves me wrong, but this is what I have. 

4 0
3 years ago
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