document.write( "Question 1157189: If EFGH is an isosceles trapezoid, EH=4x-27, FG=x+9, EG=3y+19, and FH=11y-21, solve for x and y. \n" ); document.write( "

Algebra.Com's Answer #780024 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " If $\"EFGH\"$ is an isosceles trapezoid,\r
\n" ); document.write( "\n" ); document.write( "if\r
\n" ); document.write( "\n" ); document.write( " $\"EH=4x-27+\"$
\n" ); document.write( " $\"FG=x%2B9+\"$
\n" ); document.write( " $\"EG=3y%2B19\"$
\n" ); document.write( " $\"FH=11y-21\"$ \r
\n" ); document.write( "\n" ); document.write( "then $\"EH=FG\"$ and $\"EG=FH\"$ \r
\n" ); document.write( "\n" ); document.write( "set up equations:\r
\n" ); document.write( "\n" ); document.write( " $\"4x-27=x%2B9\"$ .......solve for $\"x\"$
\n" ); document.write( " $\"4x-x=27%2B9\"$
\n" ); document.write( " $\"3x=36\"$
\n" ); document.write( " $\"x=36%2F3\"$
\n" ); document.write( " $\"x=12\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"3y%2B19=11y-21\"$ .......solve for $\"y\"$
\n" ); document.write( " $\"11%2B19=11y-3y\"$
\n" ); document.write( " $\"30=8y\"$
\n" ); document.write( " $\"y=30%2F8\"$
\n" ); document.write( " $\"y=15%2F4\"$
\n" ); document.write( " $\"y=3.75\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " so, $\"x=12\"$ and $\"y=3.75\"$ \r
\n" ); document.write( "\n" ); document.write( "you can also check the length of equal sides and equal diagonals:\r
\n" ); document.write( "\n" ); document.write( " $\"EH=4%2A12-27+=21\"$
\n" ); document.write( " $\"FG=12%2B9+=21\"$
\n" ); document.write( " $\"EG=3%283.75%29%2B19=30.25\"$
\n" ); document.write( " $\"FH=11%283.75%29-21=30.25\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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