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I need help to find x

I need help to find x-example-1

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Answer:

about 19.3

Explanation:

you are given two angles and a side so use Law of Sines

label all the angles and sides so it is easier: the square angle is angle A, the 48 degree angle is angle C, and the other angle is angle B. Therefore the side between A and C is side b, the side between A and B is side c, and the side between C and B is side a

use the Law of Sines; we already know the measure of angle C and the length of side c for reference


(c)/(sineC) =(a)/(sineA) \\\\(14.3)/(sin48) =(a)/(sine90) \\\\(14.3)/(0.74) =(a)/(1) \\\\19.3=(a)/(1) \\\\a=19.3

so x measures about 19.3

User Mark Northrop
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