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OpenStudy (anonymous):
OpenStudy (marissalovescats):
Well what do complementary angles add up to.
OpenStudy (anonymous):
90 degrees
OpenStudy (marissalovescats):
Okay so you have 2 angles here that both add up to 90 degrees. Now we set up an equation.
OpenStudy (marissalovescats):
What do you think it will be.
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OpenStudy (anonymous):
6x-10=4x-90
OpenStudy (marissalovescats):
Not quite. If these two angles ADD up to EQUAL 90 degrees, whats the equation?
OpenStudy (anonymous):
6x-10-4x=90
OpenStudy (marissalovescats):
Good job. Now we can solve it like a normal algebraic equation.
Whats the first step?
OpenStudy (anonymous):
combine like terms
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OpenStudy (marissalovescats):
Okay not yet. Take another look at your signs in the equation you wrote. It's almost perfect
OpenStudy (anonymous):
Add?
OpenStudy (marissalovescats):
Look at your diagram. And relook at the signs on your equation. One of them is off.
OpenStudy (marissalovescats):
You put 6x-10-4x=90
Rethink a sign on one of those terms
OpenStudy (anonymous):
6x-10+4x=90
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OpenStudy (marissalovescats):
Good job! Now we can combine like terms and solve for x :)
OpenStudy (anonymous):
x=50
OpenStudy (marissalovescats):
Not quite. Okay so we have
6x-10+4x=90
First, we have to add ten to the other side to get the x's by themself.
So now we have 6x+4x=100.
Now we can combine the like terms on x. 6x+4x =10x
So now we have 10x=100 which makes the answer what?
OpenStudy (anonymous):
x=10
OpenStudy (marissalovescats):
Great job!
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OpenStudy (marissalovescats):
It would work just the same way if a question gave you 2 angles that were supplementary. You would take the two angle, add them to equal 180. :)