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3 years ago

10

On a soccer team, 8 out of 19 players surveyed say they had two or more siblings. The league has 570 players. Which is the best

prediction of the number of players in the league that have two or more siblings?
A.330

B.240

C.30

D.11

1 answer:

juin [17]3 years ago

3 0

The answer is B. 240

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In the above givem figures all the angles can be found by complementary pair of angles.

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There are basically two types of pair of angles i.e. Supplementary & Complementary.
<em>Supplementary means that sum of two angles is 180°. It is also known as linear pair of angles. It is always formed on straight line.</em>
<em>Complementary</em><em> </em><em>pair</em><em> </em><em>of</em><em> </em><em>angle</em><em> </em><em>is</em><em> </em><em>that</em><em> </em><em>when</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>both</em><em> </em><em>angles</em><em> </em><em>is</em><em> </em><em>90</em><em>°</em><em>.</em><em> </em><em>It</em><em> </em><em>is</em><em> </em><em>formed</em><em> </em><em>when</em><em> </em><em>a</em><em> </em><em>right</em><em> </em><em>angle</em><em> </em><em>is</em><em> </em><em>bisected</em><em>.</em>

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<h2>#a</h2>

<u> ∠A+45°=90°</u>

<u> ∠A+45°=90° ∠A=90°-45°</u>

<u> ∠A+45°=90° ∠A=90°-45° ∠A=45°</u>

Hence, ∠A is 45°

<h2>#b</h2>

<u> ∠</u><u>B</u><u>+</u><u>65</u><u>°</u><u>=</u><u>90</u><u>°</u>

<u> ∠</u><u>B</u><u>=</u><u>90</u><u>°</u><u>-65</u><u>°</u>

<u> ∠</u><u>B</u><u>=</u><u>25</u><u>°</u>

Hence, ∠B is 25°

<h2>#c</h2>

<u> ∠</u><u>C</u><u>+</u><u>52</u><u>°</u><u>=</u><u>90</u><u>°</u>

<u> ∠</u><u>C</u><u>=</u><u>90</u><u>°</u><u>-52</u><u>°</u>

<u> ∠</u><u>C</u><u>=</u><u>38</u><u>°</u>

Hence, ∠C is 38°

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<u> ∠</u><u>D</u><u>+</u><u>74</u><u>°</u><u>=</u><u>90</u><u>°</u>

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<u> ∠</u><u>D</u><u>=</u><u>16</u><u>°</u>

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