document.write( "Question 1203782: 𝐸 is the midpoint of 𝐷F. 𝐷𝐸 = 4𝑥 + 3
\n" ); document.write( "and 𝐸𝐹 = 8𝑥 − 9. Find 𝐷𝐸, 𝐸𝐹, and 𝐷� \n" ); document.write( "

Algebra.Com's Answer #839611 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "if $\"+E\"$ is the midpoint of $\"+DF\"$ , then $\"+DE=EF\"$ \r
\n" ); document.write( "\n" ); document.write( "if\r
\n" ); document.write( "\n" ); document.write( " $\"+DE+=+4x+%2B+3\"$
\n" ); document.write( " $\"+EF+=+8x+-+9\"$ \r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"+4x+%2B+3=8x+-+9\"$
\n" ); document.write( " $\"+9%2B+3=8x+-4x+\"$
\n" ); document.write( " $\"+12=4x+\"$
\n" ); document.write( " $\"+x=3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( " $\"+DE+=+4x+%2B+3=4%2A3%2B3=15\"$
\n" ); document.write( "since $\"+DE=EF\"$ , we have $\"EF+=15\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+DE=EF%2BDF=DE%2BEF+=15%2B15=30\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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