document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=621531>Question 621531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in  triangle DEF, e= 3.0 cm<BR>\n" );
document.write( "angle F = 64<BR>\n" );
document.write( "angle E 46\r<BR>\n" );
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document.write( "find the measurement of d </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390817 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "STEP I: Use the Angel Sum Theorem to find the measure of angle D.<BR>\n" );
document.write( "The sum of the interior angles of any triangle is 180 degrees.<BR>\n" );
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document.write( "[measure of angle D] + measure of angle E] + [measure of angle F] = 180 degrees<BR>\n" );
document.write( "[measure of angle D] + 46 + 64 = 180<BR>\n" );
document.write( "[measure of angle D] = 180 - 46 - 64 = 70<BR>\n" );
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document.write( "The measure of angle D is 70 degrees.<BR>\n" );
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document.write( "STEP II: Use the Law of Sines to find the length of d.<BR>\n" );
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document.write( "The Law of Sines says the the following rations are equivalent.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28D%29%2Fd=sin%28E%29%2Fe=sin%28F%29%2Ff ALIGN=MIDDLE  ALT=\"sin%28D%29%2Fd=sin%28E%29%2Fe=sin%28F%29%2Ff\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will use the first equivalence. Substitute the values you know and solve for d.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28D%29%2Fd=sin%28E%29%2Fe ALIGN=MIDDLE  ALT=\"sin%28D%29%2Fd=sin%28E%29%2Fe\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2870%29%2Fd=sin%2846%29%2F3 ALIGN=MIDDLE  ALT=\"sin%2870%29%2Fd=sin%2846%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use a calculator to find values for the sine for each angle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9397%2Fd=0.7193%2F3 ALIGN=MIDDLE  ALT=\"0.9397%2Fd=0.7193%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%28%280.9397%29%283%29%29%2F%280.7193%29 ALIGN=MIDDLE  ALT=\"d=%28%280.9397%29%283%29%29%2F%280.7193%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=3.92+cm%29 ALIGN=MIDDLE  ALT=\"d=3.92+cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps! Please email if there is any part of this that does not make sense yet.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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