http://i.imgur.com/nNBSO6j.png Find the side of x.

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http://i.imgur.com/nNBSO6j.png Find the side of x.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1437667599289:dw|
you can use the Pythagorean theorem to find the x. This theorem says, that if your triangle is a right triangle, then the sides of these triangle will satisfy the following equation: a² + b² = c² where c is the hypotenuse.
30 is the angle, not the side.

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Other answers:

oh, my fault...
30º is complementary with the angle above x, (lets name it gº)
that means that gº+30º=90º So the angle above x (angle gº as I named it) is equal to ?
60
yes. this gº is 60º. So then the angle far to the left (lets name it wº) can be found using the fact that the sum of all angles in a triangle (in any triangle) is equal to 180º.
Your angles are gº , 90º , wº you have found the gº=60º So your angles are 60º , 90º , wº and as in any triangle, they sum must be equal to 180º, so lets write that: 60º + 90º + wº = 180º
can you solve for w?
Then use the sign law \(\Large \dfrac{x}{\sin(w^\circ)}=\dfrac{19}{\sin(g^\circ)}\) (remember that: 1. g is your angle obve the x, that is 60º 2. w is your left-most angle that is (you have to find that) and plug this information in into the above sign law) good luck
\[\frac{ x }{ \sin 30 } =\frac{ 19 }{ \sin 60 } \] \[9/\sin 60 = \frac{ \sqrt{3} }{ 2 } \] Okay, I have no idea what else to do.
another way |dw:1437671160595:dw|

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