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3 years ago

Question: If two lines intersect, then the opposite angles formed at this intersect are congruent.

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Answer:

Step-by-step explanation:

False

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Can u give me the answer<br>

Romashka-Z-Leto [24]

Answer:

rotation

Step-by-step explanation:

all are being roatated. They arent a reflection because the F is changed thus must be rotation.

6 0

3 years ago

Tom rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 90 cents for each mile dr

12345 [234]

I believe the answer is 193mi

5 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

Which image shows a reflection of the figure below?

uysha [10]

The answer is the third image.

It shows the original image reflected across the y-axis.

Hope this helps! :)

8 0

2 years ago

Read 2 more answers

Variance is_________.

katrin [286]

Answer:

Step-by-step explanation:

Variance can be said to be a measure of dispersion for a random sample.

Variance = pq/n

When given the variance, we can find the standard deviation.

Standard deviation = √variance

= √pq/n

3 0

3 years ago