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tresset_1 [31]
3 years ago
6

Which of these segments could be the image of segment AB after a sequence of reflections, rotations, and/or translations? ​

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer: HG, CD, and PN

Step-by-step explanation:

The only transformations that we have are:

Reflections, rotations and/or translations.

You should notice that none of these transformations are dilations/contractions. This means that the length of the segment will remain constant.

Then the possible images of AB after the sequence of transformations, are the segments that have the same length as AB.

The length of AB is 4 units.

The segments with the same length are:

HG, CD and PN

So any of those could be the image of AB after the transformations.

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Answer:

la probabilidad es 1/11

Step-by-step explanation:

Hay 4+4+4 = 12 canicas en total en la bolsa.

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Y luego, no reemplaces la canica, y hay 11 canicas en total.

Por eso la posibilidad de sacar otra canica azul después es 3/11.

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(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf
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Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have 3^n coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of \frac{3^n}{3} = 3^{n-1} coins

Step 2: you narrow down to group of \frac{3^{n-1}}{3} = 3^{n-2} coins

Step 3: you narrow down to group of \frac{3^{n-2}}{3} = 3^{n-3} coins

...

Step n: Step 1: you narrow down to group of 3^{n-n} = 3^0 = 1coin

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