document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210522>Question 1210522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.\r<BR>\n" );
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document.write( "An equilateral triangle, a regular octagon, a square, a regular pentagon, and a regular n-gon, all with the same side length, also completely surround a point. Find n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853479 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13305)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "To me, the wording of the problem clearly states that a point is complete surrounded by...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28An%29 ALIGN=MIDDLE  ALT=\"red%28An%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equilateral triangle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28a%29 ALIGN=MIDDLE  ALT=\"red%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > regular octagon, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28a%29 ALIGN=MIDDLE  ALT=\"red%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > square, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28a%29 ALIGN=MIDDLE  ALT=\"red%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > regular pentagon, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28AND%29 ALIGN=MIDDLE  ALT=\"red%28AND%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28a%29 ALIGN=MIDDLE  ALT=\"red%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > regular n-gon.<br><BR>\n" );
document.write( "In that case, as hidden in the messy response from the first tutor, there is no solution, since the sum of the interior angles of the triangle, octagon, square, and pentagon is already greater than the required sum of 360 degrees.<br><BR>\n" );
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