document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252088>Question 252088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: ABCD is a parallelogram, AB=3x-1, BC=x+23, and CD=2x+11. Show that ABCD is a rhombus. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183841 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let's find the value of x. We can do this by setting up AB=3x-1, CD=2x+11 equal to each other like this:<BR>\n" );
document.write( "3x-1=2x+11 Subtract 2x and add 1 to both sides will give us:<BR>\n" );
document.write( "x=12<BR>\n" );
document.write( "Now plug 12 into each of the sides and we'll see that each side equals 35 therefore the shape is a Rhombus because the 4th side has to be the same since it's a parallelogram.  <BR>\n" );
document.write( "RJ <BR>\n" );
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