Two complementary angles have measures in the ratio 5:4. What is the measure of the SMALLER angle?
A) 100 degrees B) 50 degrees C) 80 degrees D) 40 degrees
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OpenStudy (mertsj):
Let one angle be 5x
Let the other angle be 4x
5x+4x=90
OpenStudy (anonymous):
@Mertsj, but that's not any of the choices
OpenStudy (mertsj):
Did you solve the equation?
OpenStudy (anonymous):
wait, one minute
OpenStudy (anonymous):
@Mertsj I subtracted 4 from both 4x and 5x
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OpenStudy (mertsj):
Isn't there a plus sign between the 4x and the 5x?
OpenStudy (anonymous):
Yes, but I thought u subtract from both sides
OpenStudy (mertsj):
What do you suppose that plus sign means?
OpenStudy (anonymous):
addition
OpenStudy (mertsj):
What is 4 cats + 5 cats?
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OpenStudy (anonymous):
9
OpenStudy (mertsj):
9 what?
OpenStudy (anonymous):
oh, and divide nine by 90
OpenStudy (anonymous):
9 cats
OpenStudy (mertsj):
divide both sides by 9
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OpenStudy (anonymous):
9x=90
OpenStudy (anonymous):
9/9 crosses out and 90/10=9
OpenStudy (anonymous):
I got x=10
OpenStudy (mertsj):
So what are the two angles?
OpenStudy (anonymous):
90/9*
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OpenStudy (anonymous):
10 and 9
OpenStudy (mertsj):
Hint: One angle is 4x and the other angle is 5x
OpenStudy (anonymous):
D) 40 degrees
OpenStudy (anonymous):
@Mertsj
OpenStudy (mertsj):
Bingo
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