By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
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Your answer to the question is A
Answer:
The area is 63.75 feet square
Step-by-step explanation:
Formula for area of a triangle is 1/2 × base × height
And we are given each of this variables in the question above
Therefore you just have to input those values to the formula
1/2×17/2×15
255/4
=63.75
Therefore the area of the triangle is 63.75 feet square
The reasonable conclusion is that the randomization distribution provides strong evidence that the difference in the means for the two treatments group is due to the treatment because the difference is highly unlikely based on random assignment error.
<h3>
How to explain the information?</h3>
Given the mean for the first group is 43.16 gallons of gas and that the mean for the second group 54.63 gallons of gas. The difference in the means for the two groups is - 11.47 gallons of gas.
Here, the data for both groups are combined and redistributed at random into two groups of 20. The histogram shows that the distribution is approximately symmetric. Therefore, the randomization technique can be used.
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