Need help with 3 ACT math questions ?

<p><a href="http://media.act.org/documents/preparing.pdf%5B/url%5D"&gt;http://media.act.org/documents/preparing.pdf&lt;/a&gt;&lt;/p>

<p>In the 2012-2013 Act practice test math section, numbers 47, 51, and 56?</p>

<ol>
<li><p>Angle BAE = Angle CAE = 41°. Angle DCA = 180° - 82° = 98°, so Angle CAE is half that, or 49°. Angle AEC = 180° - 41° - 49° = 90°, C).</p></li>
<li><p>and 56. I believe I have solved before for other students, somewhere else on this forum. Basically for 51, you basically want to find the number of hours she spent on large and small frames, multiply that by 3, then divide by the total profit.</p></li>
</ol>

<p>For 56, note that [ABC] = (1/2) xy sin 70°. Also note that [PQR] = (1/2) xy sin 110°. Something should be clicking now...</p>