let's first off take a look at the <u>tickmarks</u>, three <u>side tickmarks</u>, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.
there are two <u>angle tickmarks</u>, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.
now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.
let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.
the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then
30° + a° + a° = 180°
30 + 2a = 180
2a = 150
a = 75° = y
now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.
well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.
The Mean Absolute Deviation is commonly known as MAD. The correct statement about the situation is D.
<h3>What is the Mean Absolute Deviation?</h3>
The Mean Absolute Deviation, commonly known as MAD is the average of the difference between the mean and the data points, it can also be referred to as the average of the deviations of the data points from the mean.
Given Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.
As it is known that more MAD for data points means more deviation of the data points from the mean, while it is vice versa if it is less. Therefore, we can conclude Last month, the amount of rain that fell each day varied less than the month before.
Hence, the correct statement about the situation is D.
Learn more about the Mean Absolute Deviation:
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Answer:
-10.5 deg
Step-by-step explanation:
Yesterday's temp = 7-1/2 deg (or 7.5 deg)
Today's temp = -3 deg
net change = today's temp - yesterday's temp
= -3 - 7.5 = -10.5 deg
Answer:
The answer is A.
Step-by-step explanation:
Hope this helped! :)
Answer:
A and D
Step-by-step explanation:
53 + 37 + 44 with the time standard being minutes
Find total time
___________________________________________
We have units of time and need to add them together, let's do as such.
53 + 37 + 44
134 minutes.
Let's try simplifying it into minutes to find how much we have :
134/60
2 hours and 14 minutes
Therefore A and D are correct.
