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77julia77 [94]
3 years ago
8

Which explanation shows why this is a parallelogram?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Answer:

One pair of opposite sides are parallel and congruent

Step-by-step explanation:

As you can see, segment HE and GF are both marked as parallel and congruent

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Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
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Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

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Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

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The penny will fall 112 feet the fourth second, 144 feet the fifth second, and 176 feet the sixth second. Therefore, the penny will be a total of 576 feet from the cliff at six seconds.
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