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Anuta_ua [19.1K]
3 years ago
11

Find the value of x in the triangle below

Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0
The correct answer is d) 20. Please mark as Brainliest if correct!
miv72 [106K]3 years ago
3 0

Phytagoras

x² = 16² + 12²

x² = 256 - 144

x² = 400

x = √400

x = <u>2</u><u>0</u>

So, the value of x is 20 (D)

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

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At a movie theater, tickets for children cost $6.05 each and adult tickets cost $8.75 each. If ticket sales for a group of 35 pe
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<u><em>Answer: </em></u>

<u><em> </em></u>

<u><em>More unknown than equations, the answer cannot be determined </em></u>

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

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<u><em>We can solve by means of a 2x2 system of equations, we have to: </em></u>

<u><em> </em></u>

<u><em>"x" is the number of children's tickets </em></u>

<u><em> </em></u>

<u><em>"y" is the number of adult tickets </em></u>

<u><em> </em></u>

<u><em>Thus: </em></u>

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<u><em> blank * x + 8.75 * y = 259 </em></u>

<u><em> </em></u>

<u><em> x + y = 35 </em></u>

<u><em> </em></u>

<u><em>which means that the number of children in the group cannot be calculated with the supplied data, this is because we have 3 unknowns and there are 2 equations, which means that the system has no solution. </em></u>

<u><em> </em></u>

<u><em>If we assume a value, for example, $ 5 </em></u>

<u><em> </em></u>

<u><em>We can solve: </em></u>

<u><em> </em></u>

<u><em>5 * x + 8.75 * y = 259 </em></u>

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<u><em> x + y = 35 => x = 35 - y </em></u>

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<u><em>replacing we have: </em></u>

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<u><em>5 * (35 - y) + 8.75 * y = 259 </em></u>

<u><em> </em></u>

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<u><em> - 5 * y + 8.75 * y = 259 - 175 </em></u>

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<u><em>y = 22.4 </em></u>

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<u><em>Thus: </em></u>

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<u><em>x = 35 - (22.4) = 12.6 </em></u>

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<u><em>there being then 22 adults and 13 children. </em></u>

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