document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362979>Question 362979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with the follow Geometry word problem.\r<BR>\n" );
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document.write( "The measure of the 1st angle is 7 times more than one third of the measure of the second angle squared. If the angles are supplementary find the measure of each angle.\r<BR>\n" );
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document.write( "My attempt:  7x + 1/3x^2 = 180\r<BR>\n" );
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document.write( "Thank you for your help.\r<BR>\n" );
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document.write( "Peter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258725 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm a little confused.<BR>\n" );
document.write( "Is it 7 more than 1/3 of the second angle squared or is it 7 times more than (1/3) of the second angle squared???<BR>\n" );
document.write( "First name your variables.<BR>\n" );
document.write( "Let the two angle be A and S.<BR>\n" );
document.write( "By definition,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BS=180 ALIGN=MIDDLE  ALT=\"A%2BS=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=7%2B%281%2F3%29S%5E2 ALIGN=MIDDLE  ALT=\"A=7%2B%281%2F3%29S%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2B%281%2F3%29S%5E2%2BS=180 ALIGN=MIDDLE  ALT=\"7%2B%281%2F3%29S%5E2%2BS=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2BS%5E2%2B3S=540 ALIGN=MIDDLE  ALT=\"21%2BS%5E2%2B3S=540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2%2B3S-519=0 ALIGN=MIDDLE  ALT=\"S%5E2%2B3S-519=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-519%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"S+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A%28-519%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28-3+%2B-+sqrt%28+9%2B2076+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"S+=+%28-3+%2B-+sqrt%28+9%2B2076+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28-3+%2B-+sqrt%28+2085+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"S+=+%28-3+%2B-+sqrt%28+2085+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Only the positive solution makes sense here,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%28-3+%2B+sqrt%28+2085+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"S+=+%28-3+%2B+sqrt%28+2085+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2B%28-3%2Bsqrt%282085%29%29%2F2=180 ALIGN=MIDDLE  ALT=\"A%2B%28-3%2Bsqrt%282085%29%29%2F2=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=360%2F2-%28-3%2Bsqrt%282085%29%29%2F2 ALIGN=MIDDLE  ALT=\"A=360%2F2-%28-3%2Bsqrt%282085%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28363-sqrt%282085%29%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28363-sqrt%282085%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The other way,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BS=180 ALIGN=MIDDLE  ALT=\"A%2BS=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=7%281%2F3%29S%5E2 ALIGN=MIDDLE  ALT=\"A=7%281%2F3%29S%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F3%29S%5E2%2BS=180 ALIGN=MIDDLE  ALT=\"%287%2F3%29S%5E2%2BS=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7S%5E2%2B3S=540 ALIGN=MIDDLE  ALT=\"7S%5E2%2B3S=540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7S%5E2%2B3S-540=0 ALIGN=MIDDLE  ALT=\"7S%5E2%2B3S-540=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can factor that one,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287S-60%29%28S%2B9%29=0 ALIGN=MIDDLE  ALT=\"%287S-60%29%28S%2B9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Only the positive solution makes sense here,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7S-60=0 ALIGN=MIDDLE  ALT=\"7S-60=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7S=60 ALIGN=MIDDLE  ALT=\"7S=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=60%2F7 ALIGN=MIDDLE  ALT=\"S=60%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=180-60%2F7 ALIGN=MIDDLE  ALT=\"A=180-60%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1260%2F7-60%2F7 ALIGN=MIDDLE  ALT=\"A=1260%2F7-60%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1200%2F7 ALIGN=MIDDLE  ALT=\"A=1200%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );