Algebraic rule —-> (x,y)—->(5x,5y)
(0,0) —> 0,0
(5,3)—-> 25,15
(10,1)—->50,5
The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.
Using statistical concepts, it is found that:
- The mean practice time decreases because of the outlier.
- The median practice time does not change because of the outlier.
- The range increases because of the oulier.
<h3>What are the mean, the median and the range of a data-set?</h3>
- The mean is the sum of all observations divided by the number of observations.
- The median is the middle value, the value that separates the upper 50% from the bottom 50%.
- The range is the difference between the largest value and the smallest.
From their concepts above, we have that the mean and the range are influenced by outliers.
In this problem, the outlier is at the low end, of 15, hence:
- The mean practice time decreases because of the outlier.
- The median practice time does not change because of the outlier.
- The range increases because of the oulier.
More can be learned about statistical concepts at brainly.com/question/24732674
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Answer:
f x + 2f + 4.
Step-by-step explanation:
Answer:
Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.
Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.
Work for Triangle C: Same as B.
Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.
Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.
