Step-by-step explanation:
Let the angle near point A be
.
Let the angle near point B be
.
Let the angle near point C be
.
Let the external angle near point A be
.
Let the external angle near point B be
.
Let the external angle near point C be
.
According to exterior angle property,exterior angle of an angle is the sum of other two angles.
So,

According to angle sum property,the sum of angles in the triangle add to 

Answer:
24 square units
Step-by-step explanation:
You apply area of a trapezium
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Answer:
It represents the cost of the DVD player.
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Step-by-step explanation:
The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).
The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.
This shows that the 200 in the equation in the question represents the cost of the DVD player.
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Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:

What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So



has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79