document.write( "Question 105635: The length of the shadow of a building is 2 feet more than 2/3 the height of the building and it is also 12 feet less than the height. How high is the building? \n" ); document.write( "
Algebra.Com's Answer #78767 by HyperBrain(694)\"\" \"About 
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Let x=the height of the building
\n" ); document.write( "____y=the length of the shadow\r
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\n" ); document.write( "\n" ); document.write( "IF The length of the shadow of a building is 2 feet more than 2/3 the height of the building...\r
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\n" ); document.write( "\n" ); document.write( "\"y=2x%2F3%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "Also,\r
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\n" ); document.write( "\n" ); document.write( "IF it is also 12 feet less than the height...\r
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\n" ); document.write( "\n" ); document.write( "\"y=x-12\"\r
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\n" ); document.write( "\n" ); document.write( "Since \"y=2x%2F3%2B2\" and \"y=x-12\", Then,\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2F3%2B2=x-12\"
\n" ); document.write( "\"3%282x%2F3%2B2%29=3%28x-12%29\"
\n" ); document.write( "\"2x%2B6=3x-36\"
\n" ); document.write( "\"3x-36=2x%2B6\"
\n" ); document.write( "\"3x-36%2B36=2x%2B6%2B36\"
\n" ); document.write( "\"3x%2B0=2x%2B42\"
\n" ); document.write( "\"3x=2x%2B42\"
\n" ); document.write( "\"3x-2x=2x-2x%2B42\"
\n" ); document.write( "\"x=0%2B42\"
\n" ); document.write( "\"x=42\"\r
\n" ); document.write( "\n" ); document.write( "Since x= height of the building...\r
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\n" ); document.write( "\n" ); document.write( "Therefore, the height of the building is 42 ft.\r
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\n" ); document.write( "\n" ); document.write( "Power up,
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