document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98610>Question 98610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi and thanks for taking time out to read my problem...\r<BR>\n" );
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document.write( "It says: two angles are complementry. The measures of one angle is 21 more than twice the measure of the other angle. Find the measure of the angle.\r<BR>\n" );
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document.write( "   i tried it a few times but just don't remeber how to do it...my teacher went over it in class but i might have took my notes wrong or didn't right it done... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71740 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=angle 1, y=angle 2\r<BR>\n" );
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document.write( "Since one angle (say angle 2) is 21 more (ie add 21) than twice (2 times) the other angle, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B21 ALIGN=MIDDLE  ALT=\"y=2x%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add the angles x and y to get 90 degrees (remember two complementary angles add up to 90 degrees)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=90 ALIGN=MIDDLE  ALT=\"x%2By=90\"   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%2B2x%2B21=90 ALIGN=MIDDLE  ALT=\"x%2B2x%2B21=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B21 ALIGN=MIDDLE  ALT=\"y=2x%2B21\"   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=3x=90-21 ALIGN=MIDDLE  ALT=\"3x=90-21\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 21 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=69 ALIGN=MIDDLE  ALT=\"3x=69\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2869%29%2F%283%29 ALIGN=MIDDLE  ALT=\"x=%2869%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=23 ALIGN=MIDDLE  ALT=\"x=23\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "--------------------------------------------------------------\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=23 ALIGN=MIDDLE  ALT=\"x=23\"   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=y=2%2823%29%2B21 ALIGN=MIDDLE  ALT=\"y=2%2823%29%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now plug in  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=23 ALIGN=MIDDLE  ALT=\"x=23\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=46%2B21 ALIGN=MIDDLE  ALT=\"y=46%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=67 ALIGN=MIDDLE  ALT=\"y=67\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So the other angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=67 ALIGN=MIDDLE  ALT=\"y=67\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the two angles are 23 and 67 degrees\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2B67=90 ALIGN=MIDDLE  ALT=\"23%2B67=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add up the angles, the left side should add up to the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90=90 ALIGN=MIDDLE  ALT=\"90=90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the equation is true, our answer is verified </SPAN>\n" );
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