document.write( "Question 215041This question is from textbook GEOMETRY
\n" ); document.write( ": IF THE MEASURES OF THE THREE ANGLES OF TRIANGLE ARE x, 2x - 20, and 3x - 10, then what is this type of traingle? Why? \n" ); document.write( "

Algebra.Com's Answer #162490 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
IF THE MEASURES OF THE THREE ANGLES OF TRIANGLE ARE x, 2x - 20, and 3x - 10, then what is this type of traingle? Why?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The sum of the angles of a triangle add to 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Then x+2x-20+3x-10=180.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. The following steps will solve the equation in step 2.\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=35.
Graphical form: Equation $\"x%2B2x-20%2B3x-10=180\"$ was fully solved.
Text form: x+2x-20+3x-10=180 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2B2x-20%2B3x-10=180+%29\"$
For tutors: simplify_cartoon( x+2x-20+3x-10=180 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"x%2B2%2Ax-highlight_red%28+20+%29%2B3%2Ax-highlight_red%28+10+%29=180\"$ .
Added fractions or integers together
It becomes $\"x%2B2%2Ax%2Bhighlight_green%28+-30+%29%2B3%2Ax=180\"$ .
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Look at $\"x%2B2%2Ax%2Bhighlight_red%28+-30+%29%2B3%2Ax=180\"$ .
Moved $\"-30\"$ to the right of expression
It becomes $\"x%2B2%2Ax%2B3%2Ax%2Bhighlight_green%28+-30+%29=180\"$ .
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Look at $\"x%2B2%2Ax%2B3%2Ax%2Bhighlight_red%28+-30+%29=180\"$ .
Removed extra sign in front of $\"-30\"$
It becomes $\"x%2B2%2Ax%2B3%2Ax-highlight_green%28+30+%29=180\"$ .
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Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29-30=180\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+2%2Ax+%29\"$ , $\"highlight_red%28+3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281%2B2%2B3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B2%2B3%29%2Ax+%29-30=180\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%2Bhighlight_red%28+3+%29%29%2Ax-30=180\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+6+%29%29%2Ax-30=180\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29-30=180\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"highlight_green%28+6+%29%2Ax-30=180\"$ .
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Look at $\"6%2Ax-30=highlight_red%28+180+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-180+%29\"$
It becomes $\"6%2Ax-30-highlight_green%28+180+%29=0\"$ .
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Look at $\"6%2Ax-highlight_red%28+30+%29-highlight_red%28+180+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2Bhighlight_green%28+-210+%29=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+-210+%29=0\"$ .
Removed extra sign in front of $\"-210\"$
It becomes $\"6%2Ax-highlight_green%28+210+%29=0\"$ .
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Look at $\"highlight_red%28+6%2Ax-210+%29=0\"$ .
Solved linear equation $\"highlight_red%28+6%2Ax-210=0+%29\"$ equivalent to 6*x-210 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=35.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Step 4. With x=35, then 2x-20=70-20=50 and 3x-10=105-10=95.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Since the triangle has angles 35, 50, and 95 where one angle is greater than 90 degrees then the triangle is an obtuse triangle by definition\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
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