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Nady [450]
3 years ago
7

Please answer sincerely thank you

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

To prove two triangles are similar, we only need two pairs of congruent angles.

The first pair of congruent angles could be the two right angles AED and GFC as shown by the square markers.

As for the other pair of congruent angles, we could pick on angle DAE and angle FGC, which are corresponding angles. The corresponding angles are congruent because of the vertical parallel line segments BA and FG

Once you have two pairs of congruent angles, you have effectively wrapped up the similarity proof. The specific theorem you use is the AA (angle angle) similarity theorem.

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Answer:

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Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

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If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

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= x - (7+6)/8

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This shows that the total change after the two days is -13/8

As a mixed fraction;

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Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

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The formula for Poisson distribution is as follows.

P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...

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P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

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