document.write( "Question 1190352: Points A, B, C, and D are collinear and positioned in that order. Find the length of CD, if CD = 3x+10, AB = 2x+15, AD = 7x+25 and BC = 24. Write your answer in small letter without space. For example x=10. \n" ); document.write( "
Algebra.Com's Answer #821973 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"CD+=+3x%2B10\"
\n" ); document.write( "\"AB+=+2x%2B15\"
\n" ); document.write( "\"AD+=+7x%2B25+\"
\n" ); document.write( "\"BC+=+24\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The segment addition theorem tells you that\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \"+AB+%2BBC+%2BCD+=+AD\".........substitute given values\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B15%2B24%2B3x%2B10=7x%2B25\"........solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B49=7x%2B25\"\r
\n" ); document.write( "\n" ); document.write( "\"49-25=7x-5x\"\r
\n" ); document.write( "\n" ); document.write( "\"24=2x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=12\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the length of \"CD\" is:\r
\n" ); document.write( "\n" ); document.write( "\"CD+=+3%2A12%2B10\"\r
\n" ); document.write( "\n" ); document.write( "\"CD+=+46\"\r
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