document.write( "Question 215691: Five times the measure of an angle less the complement of that angle equals 9. Find the measure of the angle. \n" ); document.write( "

Algebra.Com's Answer #162948 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Five times the measure of an angle less the complement of that angle equals 9. Find the measure of the angle. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Angles are complementary when the two angles add to 90 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let x be the angle and 90-x be the complementary angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 5x be five times the angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then 5x-(90-x)=9 since five times the measure of an angle less the complement of that angle equals 9\r
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\n" ); document.write( "\n" ); document.write( "Step 5. The following will solve the equation in Step 4:\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=16.5.
Graphical form: Equation $\"5x-%2890-x%29=9\"$ was fully solved.
Text form: 5x-(90-x)=9 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5x-%2890-x%29=9+%29\"$
For tutors: simplify_cartoon( 5x-(90-x)=9 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"5%2Ax-highlight_red%28+%2890-x%29+%29=9\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-90+%29\"$ , $\"highlight_red%28+x+%29\"$
It becomes $\"5%2Ax-highlight_green%28+90+%29%2Bhighlight_green%28+x+%29=9\"$ .
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Look at $\"5%2Ax-highlight_red%28+90+%29%2Bx=9\"$ .
Moved $\"-90\"$ to the right of expression
It becomes $\"5%2Ax%2Bx-highlight_green%28+90+%29=9\"$ .
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Look at $\"highlight_red%28+5%2Ax+%29%2Bhighlight_red%28+x+%29-90=9\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Ax+%29\"$ , $\"highlight_red%28+x+%29\"$ replacing them with $\"highlight_green%28+%285%2B1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%285%2B1%29%2Ax+%29-90=9\"$ .
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Look at $\"%28highlight_red%28+5+%29%2Bhighlight_red%28+1+%29%29%2Ax-90=9\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+6+%29%29%2Ax-90=9\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29-90=9\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"highlight_green%28+6+%29%2Ax-90=9\"$ .
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Look at $\"6%2Ax-90=highlight_red%28+9+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-9+%29\"$
It becomes $\"6%2Ax-90-highlight_green%28+9+%29=0\"$ .
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Look at $\"6%2Ax-highlight_red%28+90+%29-highlight_red%28+9+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2Bhighlight_green%28+-99+%29=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+-99+%29=0\"$ .
Removed extra sign in front of $\"-99\"$
It becomes $\"6%2Ax-highlight_green%28+99+%29=0\"$ .
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Look at $\"highlight_red%28+6%2Ax-99+%29=0\"$ .
Solved linear equation $\"highlight_red%28+6%2Ax-99=0+%29\"$ equivalent to 6*x-99 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=16.5.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x=16.5 , then 90-x=73.5 \r
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\n" ); document.write( "\n" ); document.write( "Check 5x-90-x=5*16.5-73.5=9 which is a true statement. \r
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\n" ); document.write( "\n" ); document.write( "Step 6. The angle is 16.5 degrees and its complement is 73.5 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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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