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Mathematics 19 Online
OpenStudy (anonymous):

Describe the relationship between the lengths of XY and YW

OpenStudy (anonymous):

pic

OpenStudy (anonymous):

Hint: consider the law of sines.

OpenStudy (anonymous):

so it's a vector?

OpenStudy (anonymous):

The law of sines states that, given any triangle ABC with the side opposite angle A having length a, opposite angle B having length b, and opposite angle C having length c, then \[\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\] You know the angles and can treat the lengths XY and YW as your length variables. This will give you a relation between their lengths, which is the answer to the question. For example, if you were to plug in the angles and get that XY = 2YW, then that would be your answer.

OpenStudy (anonymous):

so 27 +92=twice 27+61?

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