1. The last time Lola played
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First we need to find the slope of line k. Using the slope formula, we fill in accordingly: 
. The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.
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Find the circumference of the circle and show work. [refer to
attachment]
Formula for Circumference of a Circle:-
Where
- C = circumference
- π = pi (3.14…)
- r = radius, which in this case is equal to 8
Substitute the value of r and solve:-
C=2π(8)
On simplification,
C=16π
On further simplification,
C=50.3
Therefore, we conclude that the circumference of this circle is
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Total number of rotten mangoes in the bag = 6
Total number of good mangoes in the bag = 24
Fraction of the rotten mangoes to the total mangoes.
Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes
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Now,
Fraction =
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Therefore, the fraction of the rotten mangoes to the total mangoes is .