Answer:
The complement is 50 and the supplement is 140
Step-by-step explanation:
Complementary angles add up to 90. Supplementary angles add up to 180. We simply need to subtract to find the difference to fill the gap.
90-40=50
180-40=140
The complement is 50 and the supplement is 140
That's what I got. to rationalize the numerator you have to multiply by the conjugate, in this case (√3 + 9) / (√3 + 9), which is what it looks like you did.
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Answer:
Looks like it's already answered
Step-by-step explanation:
lol
Explanation:
Addition of fractions can be accomplished using the formula ...
a/b + c/d = (ad +bc)/(bd)
Usually, you are asked to find the common denominator and rewrite the fractions using that denominator. It is not necessary, but it can save a step in the reduction of the final result. Here, we'll use the formula, then reduce the result to lowest terms.
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13. 5/6 +9/11 = (5·11 +6·9)/(6·11) = 109/66 = 1 43/66
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14. 7/20 -5/8 = (7·8 -20·5)/(20·8) = -44/160 = -11/40
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15. 1/5 -1/12 = (1·12 -5·1)/(5·12) = 7/60
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Dividing fractions can be accomplished different ways. I was taught to multiply by the inverse of the divisor. ("Invert and multiply.") Here, that means the problem (2/7) / (1/13) can be rewritten as ...
(2/7) × (13/1) . . . . . where 13/1 is the inverse of 1/13.
You can also express the fractions over a common denominator. In that case, the quotient is the ratio of the numerators. Perhaps a little less obvious is that you can express the fractions using a common numerator. Then the quotient is the inverse of the ratio of the denominators: (2/7) / (2/26) = 26/7. (You can see how this works if you "invert and multiply" the fractions with common numerators. Those numerators cancel.)
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16. (2/7)/(1/13) = 2/7·13/1 = 26/7 = 3 5/7
