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uranmaximum [27]
3 years ago
5

A box contains 10 cards numbered 1 through 10. Which events are mutually exclusive? A. A card is drawn from the box and the numb

er is even. A card is drawn from the box and the number is 5. B. A card is drawn from the box and the number is odd. A card is drawn from the box and the number is 3. C. A card is drawn from the box and the number is a multiple of 3. A card is drawn from the box and the number is 9. D. A card is drawn from the box and the number is even. A card is drawn from the box and the number is 10.
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
The answer is A. 5 is not an even number, so both events can't take place together.
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Step-by-step explanation:

Length of PR = 4

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PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

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Now for the length of PQ,

PQ² = QT² + PT²

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PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

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