Answer:
x = 18
Step-by-step explanation:
the sum of any exterior angle is equal to the sum of any two interior angles
3x-11 + 5x+14 = 9x-15
8x + 3 = 9x - 15
3 = x - 15
x = 18
<span>Each Interior Angle = <span>(<span>(Number of Sides -2) • 180 degrees<span>)<span> ÷ (Number of Sides)
Solving for number of sides
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<span>Each Interior Angle / 180 = <span>(N -2) <span>/ (N)
144 / 180 = (n-2) / n
144 * n = 180n -360
360 = 36 n
n = 10 the number of sides
Source:
http://www.1728.org/polygon.htm
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Answer:Red price hast he least least cost per gram of apple.
Step-by-step explanation:
1) considering Royal Gala, 75 gram apple cost $0.41
The cost per gram is 0.41/75 = $0.0055
2) considering Honey crisp, 93 gram apple cost $0.82
The cost per gram is 0.82/93 = $0.0088
3) considering Red Prince, 81 gram apple cost $0.36
The cost per gram is 0.36/81 = $0.0044
Since $0.0044 per gram is the lowest of the three, then the type of apple with the least cost per gram is Red prince.
45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.
Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325
The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75
Round up,
Index = 7
The,
7th number = $155
Therefore, 45th percentile value of the data = $155
Im assuming the height is dropped so that it is the halfway point. this would then make the base 5cm, with a height of 12cm. if that is the case then the answer should be 13
