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Viktor [21]
3 years ago
7

Suppose that on a coordinate plane a hexagon is reflected across the x-axis. Compare the area of the original hexagon to the are

a of the transformed figure. Justify your answer. A) The areas may or may not be the same because the scale is not given. B) The areas are equal. A reflection is a rigid transformation, which does not change the size of the original hexagon. Therefore, the area is preserved. C) The area of the original hexagon is greater than the transformed figure. A reflection decreases the size of the original polygon. Therefore, the area is not preserved. D) The area of the transformed hexagon is greater than the original figure. A reflection increases the size of the original polygon. Therefore, the area is not preserved.
Mathematics
1 answer:
kap26 [50]3 years ago
4 0

Reflection along x-axis is just a swapping of left and right sides. It does not change the size or area of the hexagon.

Hence, the correct option is B.

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A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:
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probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269

<u>Step-by-step explanation:</u>

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

  • an ace or a king

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{8}{52}

⇒ probability = 0.1538

  • a king or a diamond

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{(13+4=17)}{52}

⇒ probability = \frac{(17)}{52}

⇒ probability =0.3269

Therefore, probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269
8 0
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I NEED HELP ASAP (will give brainiest) 20 POINTS
BlackZzzverrR [31]

Answer:

the anwser is y=5600

I'm going to just go by this because of research and you didn't show the 4 problems so if this fixes your question then there you go

4 0
3 years ago
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