document.write( "Question 215898: Five times the complement of an angle less twice the angle's supplement is 40 degrees. Find the measure of the supplement. \n" ); document.write( "
Algebra.Com's Answer #163099 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Five times the complement of an angle less twice the angle's supplement is 40 degrees. Find the measure of the supplement.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Complementary angles means two angles add up to 90 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Supplementary angles means two angles add up to 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let x be the angle, let 90-x be its complement, let 180-x be its supplement.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let 5(90-x) be five times the complement and 2(180-x) be twice the supplement. \r
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\n" ); document.write( "\n" ); document.write( "Step 5. Five times the complement of an angle less twice the angle's supplement is 40 degrees is translated as \r
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\n" ); document.write( "\n" ); document.write( "\"5%2890-x%29-2%28180-x%29=40\"\r
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\n" ); document.write( "\n" ); document.write( "The following will solve this equation...\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: x=16.6666666666667.
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  • Graphical form: Equation \"5%2A%2890-x%29-2%2A%28180-x%29=40\" was fully solved.
  • Text form: 5*(90-x)-2*(180-x)=40 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+5%2A%2890-x%29-2%2A%28180-x%29=40+%29\"
    For tutors: simplify_cartoon( 5*(90-x)-2*(180-x)=40 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"5%2A%28highlight_red%28+90+%29-x%29-2%2A%28180-x%29=40\".
Moved \"90\" to the right of expression
It becomes \"5%2A%28-x%2Bhighlight_green%28+90+%29%29-2%2A%28180-x%29=40\".
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Look at \"5%2A%28-x%2B90%29-2%2A%28highlight_red%28+180+%29-x%29=40\".
Moved \"180\" to the right of expression
It becomes \"5%2A%28-x%2B90%29-2%2A%28-x%2Bhighlight_green%28+180+%29%29=40\".
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Look at \"5%2A%28-x%2B90%29-2%2A%28-x%2B180%29=highlight_red%28+40+%29\".
Moved these terms to the left \"highlight_green%28+-40+%29\"
It becomes \"5%2A%28-x%2B90%29-2%2A%28-x%2B180%29-highlight_green%28+40+%29=0\".
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Look at \"highlight_red%28+5%2A%28-x%2B90%29+%29-2%2A%28-x%2B180%29-40=0\".
Expanded term \"5\" by using associative property on \"%28-x%2B90%29\"
It becomes \"-highlight_green%28+5%2Ax+%29%2Bhighlight_green%28+5%2A90+%29-2%2A%28-x%2B180%29-40=0\".
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Look at \"-5%2Ax%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+90+%29-2%2A%28-x%2B180%29-40=0\".
Multiplied numerator integers
It becomes \"-5%2Ax%2Bhighlight_green%28+450+%29-2%2A%28-x%2B180%29-40=0\".
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Look at \"-5%2Ax%2Bhighlight_red%28+450+%29-2%2A%28-x%2B180%29-highlight_red%28+40+%29=0\".
Added fractions or integers together
It becomes \"-5%2Ax%2Bhighlight_green%28+410+%29-2%2A%28-x%2B180%29=0\".
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Look at \"-5%2Ax%2Bhighlight_red%28+410+%29-2%2A%28-x%2B180%29=0\".
Moved \"410\" to the right of expression
It becomes \"-5%2Ax-2%2A%28-x%2B180%29%2Bhighlight_green%28+410+%29=0\".
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Look at \"-5%2Ax-highlight_red%28+2%2A%28-x%2B180%29+%29%2B410=0\".
Expanded term \"-2\" by using associative property on \"%28-x%2B180%29\"
It becomes \"-5%2Ax%2Bhighlight_green%28+2%2Ax+%29-highlight_green%28+2%2A180+%29%2B410=0\".
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Look at \"-5%2Ax%2B2%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+180+%29%2B410=0\".
Multiplied numerator integers
It becomes \"-5%2Ax%2B2%2Ax-highlight_green%28+360+%29%2B410=0\".
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Look at \"-5%2Ax%2B2%2Ax-highlight_red%28+360+%29%2Bhighlight_red%28+410+%29=0\".
Added fractions or integers together
It becomes \"-5%2Ax%2B2%2Ax%2Bhighlight_green%28+50+%29=0\".
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Look at \"-highlight_red%28+5%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29%2B50=0\".
Eliminated similar terms \"highlight_red%28+-5%2Ax+%29\",\"highlight_red%28+2%2Ax+%29\" replacing them with \"highlight_green%28+%28-5%2B2%29%2Ax+%29\"
It becomes \"highlight_green%28+%28-5%2B2%29%2Ax+%29%2B50=0\".
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Look at \"%28-highlight_red%28+5+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B50=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-3+%29%29%2Ax%2B50=0\".
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Look at \"%28highlight_red%28+-3+%29%29%2Ax%2B50=0\".
Removed extra sign in front of \"-3\"
It becomes \"%28-highlight_green%28+3+%29%29%2Ax%2B50=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+3+%29%29%2Ax+%29%2B50=0\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"-highlight_green%28+3+%29%2Ax%2B50=0\".
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Look at \"highlight_red%28+-3%2Ax%2B50+%29=0\".
Solved linear equation \"highlight_red%28+-3%2Ax%2B50=0+%29\" equivalent to -3*x+50 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=16.6666666666667.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x=16.67, then 180-x=163.33 and 90-x=73.33\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER. The supplement is 163.33 degrees\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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