document.write( "Question 355878: Given that AB = DE and BC = CD show that AD = BE. \n" ); document.write( "

Algebra.Com's Answer #254114 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "1. $\"AB%2BBC%2BCD%2BDE=AE\"$
\n" ); document.write( "2. $\"AD%2BDE=AE\"$
\n" ); document.write( "3. $\"AB%2BBE=AE\"$
\n" ); document.write( "Given,
\n" ); document.write( " $\"AB=DE\"$
\n" ); document.write( " $\"BC=CD\"$
\n" ); document.write( "Substituting into eq. 1,
\n" ); document.write( " $\"AB%2BBC%2BBC%2BAB=AE\"$
\n" ); document.write( " $\"2AB%2B2BC=AE\"$
\n" ); document.write( " $\"2AC=AE\"$
\n" ); document.write( " $\"AC=CE=%281%2F2%29AE\"$
\n" ); document.write( "Add $\"CD\"$ to both sides.
\n" ); document.write( " $\"AC%2BCD=CD%2BCE\"$
\n" ); document.write( "Substitute from the given equation,
\n" ); document.write( " $\"AC%2BCD=BC%2BCE\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"AD=BE\"$ \n" ); document.write( "

\n" );