document.write( "Question 1117067: Analyze the diagram below and complete the instructions that follow.\r
\n" ); document.write( "\n" ); document.write( "2004-05-01-06-00_files/i0200005.jpg\r
\n" ); document.write( "\n" ); document.write( "ABCD is an isosceles trapezoid with diagonals that intersect at point P. If 2004-05-01-06-00_files/i0200000.jpg || 2004-05-01-06-00_files/i0200001.jpg, AC = 7y – 30, BD = 4y + 60, and CD = 5y + 14, solve for y.\r
\n" ); document.write( "\n" ); document.write( "A.
\n" ); document.write( "22
\n" ); document.write( "B.
\n" ); document.write( "30
\n" ); document.write( "C.
\n" ); document.write( "46
\n" ); document.write( "D.
\n" ); document.write( "57
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\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Please select the best answer from the choices provided\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A
\n" ); document.write( "B
\n" ); document.write( "C
\n" ); document.write( "D
\n" ); document.write( "

Algebra.Com's Answer #732057 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "given:
\n" ); document.write( "\"ABCD\" is an \"isosceles\" trapezoid with diagonals that intersect at point \"P\". \r
\n" ); document.write( "\n" ); document.write( "If
\n" ); document.write( "\"AC+=+7y+-+30\"
\n" ); document.write( "\"BD+=+4y+%2B+60\"
\n" ); document.write( " and
\n" ); document.write( "\"CD+=+5y+%2B+14\"\r
\n" ); document.write( "\n" ); document.write( " solve for \"y\" \r
\n" ); document.write( "\n" ); document.write( "recall: an \"isosceles\" trapezoid when both angles coming from a parallel side are equal, the sides that aren't parallel are equal in length, and the diagonals of an isosceles trapezoid are congruent\r
\n" ); document.write( "\n" ); document.write( "in your case, the diagonals are \"AC\" and \"BD\", so you have\r
\n" ); document.write( "\n" ); document.write( "\"AC+=BD\"
\n" ); document.write( "\"7y+-+30=4y+%2B+60\" ....solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"7y+-4y+=30%2B+60\"\r
\n" ); document.write( "\n" ); document.write( "\"3y+=90\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=90%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=30\"\r
\n" ); document.write( "\n" ); document.write( "answer:
\n" ); document.write( "B.\"30\"\r
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