document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103124>Question 103124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this problem is confusing me could someone please help?\r<BR>\n" );
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document.write( "In the triangle, ABC, Angle A is congruent to angle B and the measure of angle A is 54 degrees. Between line segment B and C The problem is 7x-6 and between line segment A and C The line segment is 5x.\r<BR>\n" );
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document.write( "It says to find the value of segment AC. \r<BR>\n" );
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document.write( "I need help badly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74979 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok from what I understand this is the triangle we are looking at:<BR>\n" );
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document.write( "Ok first we are told that:<BR>\n" );
document.write( "In the triangle, ABC, Angle A is congruent to angle B and the measure of angle A is 54 degrees.<BR>\n" );
document.write( "Congruent basically means that the angles equal one another.<BR>\n" );
document.write( "so if angle A is 54 degrees then<BR>\n" );
document.write( "angle B is also 54 degrees<BR>\n" );
document.write( "Any time you have a triangle with two congruent angles we automatically know that the sides opposite those angles are congruent sides<BR>\n" );
document.write( "Or in other words the triangle is an isosceles triangle.<BR>\n" );
document.write( "Now if I understand your question correctly<BR>\n" );
document.write( "line segment BC equals 7x-6<BR>\n" );
document.write( "and <BR>\n" );
document.write( "line segment AC equals 5x<BR>\n" );
document.write( "So by definition of an isosceles triangle these two line segements are equal<BR>\n" );
document.write( "so that gives us a simple equation to solve for x<BR>\n" );
document.write( "7x - 6 = 5x<BR>\n" );
document.write( "first add 6 to both sides<BR>\n" );
document.write( "7x - 6 + 6 = 5x + 6<BR>\n" );
document.write( "6's on the left side cancel out and we are left with<BR>\n" );
document.write( "7x = 5x + 6<BR>\n" );
document.write( "now subtract 5x from both sides<BR>\n" );
document.write( "7x - 5x = 5x - 5x + 6<BR>\n" );
document.write( "5x's on the right side cancel out and so<BR>\n" );
document.write( "7x - 5x = 6<BR>\n" );
document.write( "subtract 5x from 7x<BR>\n" );
document.write( "2x = 6 <BR>\n" );
document.write( "finally solve for x by dividing both sides by 2<BR>\n" );
document.write( "2x/2 = 6/2<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "so the value of line segment AC is 15 because<BR>\n" );
document.write( "5x<BR>\n" );
document.write( "5*3 = 15<BR>\n" );
document.write( "AND line segment BC is also 15 because <BR>\n" );
document.write( "7x-6<BR>\n" );
document.write( "7(3)-6<BR>\n" );
document.write( "21-6 = 15\r<BR>\n" );
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