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3 years ago

Which of the following transformations preserves congruence?

Mathematics

2 answers:

Digiron [165]3 years ago

6 0

Translation and rotation both preserve congruence

In-s [12.5K]3 years ago

5 0

The answer is "I" or "I and II".

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Would the answer be 12.5

matrenka [14]

Yes hope this helps man!!

6 0

3 years ago

I need help with this question.

ivann1987 [24]

9514 1404 393

Answer:

a8 = 4

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

a8 = (1/2)(8) = 8/2 = 4

The 8th term of this arithmetic sequence is 4.

4 0

2 years ago

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

5 0

3 years ago

I need help fast!!!!!!!!!!!

Vedmedyk [2.9K]

Answer:

Track 2

Step-by-step explanation:

180 degrees would turn the train completely around so if it entered on track 2 then it left on track 2

7 0

3 years ago

What is the solution

gladu [14]

Answer:

3x-1/4=-5/11
11 (3x-1)=4 (5)
33x-11=20
33x=20+11
33x=31
x=31/33
x=?

8 0

2 years ago