document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204461>Question 1204461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the measure of angle x, if possible. Notice that x is an obtuse angle. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840727 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=25 ALIGN=MIDDLE  ALT=\"a=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=30 ALIGN=MIDDLE  ALT=\"c=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=54 ALIGN=MIDDLE  ALT=\"B=54\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "use the law of  cosine to calculate  side<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b ALIGN=MIDDLE  ALT=\"+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+sqrt%28a%5E2%2Bc%5E2-2ac%2Acos%28B%29%29 ALIGN=MIDDLE  ALT=\"b=+sqrt%28a%5E2%2Bc%5E2-2ac%2Acos%28B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+sqrt%2825%5E2%2B30%5E2-2%2A25%2A30%2Acos%2854%29%29 ALIGN=MIDDLE  ALT=\"b=+sqrt%2825%5E2%2B30%5E2-2%2A25%2A30%2Acos%2854%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+25.3638 ALIGN=MIDDLE  ALT=\"b=+25.3638\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > (actually angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=cos%5E-1%28%28a%5E2%2Bb%5E2-c%5E2%29%2F2ab%29 ALIGN=MIDDLE  ALT=\"x=cos%5E-1%28%28a%5E2%2Bb%5E2-c%5E2%29%2F2ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=cos%5E-1%28%2825%5E2%2B25.3638%5E2-30%5E2%29%2F%282%2A25%2A25.3638%29%29 ALIGN=MIDDLE  ALT=\"x=cos%5E-1%28%2825%5E2%2B25.3638%5E2-30%5E2%29%2F%282%2A25%2A25.3638%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=73.1 ALIGN=MIDDLE  ALT=\"x=73.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "third angle is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=180-%28B%2Bx%29 ALIGN=MIDDLE  ALT=\"A=180-%28B%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=180-%2854%2B73.1%29 ALIGN=MIDDLE  ALT=\"A=180-%2854%2B73.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=52.9 ALIGN=MIDDLE  ALT=\"A=52.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=73.1 ALIGN=MIDDLE  ALT=\"x=73.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "complete solution:\r<BR>\n" );
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document.write( "Sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+25 ALIGN=MIDDLE  ALT=\"a+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+25.3638 ALIGN=MIDDLE  ALT=\"b+=+25.3638\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+30 ALIGN=MIDDLE  ALT=\"c+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Angles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+52.9 ALIGN=MIDDLE  ALT=\"A+=+52.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > °<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+54+ ALIGN=MIDDLE  ALT=\"B+=+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=x=+73.1 ALIGN=MIDDLE  ALT=\"C=x=+73.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > °\r<BR>\n" );
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