This answer is rational, because the answer would be -9... which is rational.
x - any unit in degrees
The ratio 7 : 8, therefeor the measures of the angles are 7x and 8x.
We know: the sum of those angles is 180°
Therefore we have the equation
7x + 8x = 180
15x = 180 |:15
x = 12
The smaller angle is 7x.
Your answer is 7 · 12° = 84°
Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
(write this in your own words)
There are 4! = 24 poosible permutations of the four letters. Let the letters be A, B, C and D. Two permutations will have only letter A in the correct envelope, two more permutations will have only letter B in the correct envelope, two more will have only letter C in the correct envelope and two more will have only letter D in the correct envelope. Therefore 8 out of the 24 possible permutations will have only one letter with the correct address. The required probability is 8/24 = 1/3.
The coment before me is super funny lol
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