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damaskus [11]
3 years ago
9

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

D

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = \sqrt{75}

x = 5 \sqrt{3}

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Answer:

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Step-by-step explanation:

Let t and m represent the numbers of cards had by Tom and Max, respectively. Then the problem statement tells us ...

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We want to solve for t. If we multiply the first equation by 4 and subtract the second, we get ...

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... 5t = 290 . . . . . . . . . . . . . . . . . . . add t+2, collect terms

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_____

<em>Alternate Solution</em>

You can work this in your head if you realize that subtacting 2 from the total means that Max has 1/5 of the new amount. 1/5 of 70 is 14, so Tom has 72 - 14 = 58 cards.

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Step-by-step explanation:

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