Which of the following equations can be used to find the missing angle, x, in the triangle below?
1 answer:
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Answer:
The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -2 , 7)
To Find:
Equation of Line that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?
Solution:
..................Given
which can be written as
Where m is the slope of the line
∴
On Comparing we get
The Required line is Perpendicular to the above line.
So,
Product of slopes = - 1
Slope of the required line is -6
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get
The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is
The probability is 0.4332.
We want to find the z-scores associated with the ends of the ranges. The z-score for 200 would be 0, since it is 0 away from the mean. To find the z-score of 275 we use the formula:
Using a z-table (http://www.z-table.com) we can find the area under the curve to the left of 1.5 (everything less than that, so every score less than 275). This is 0.9338. However, we only want the range from the mean, 200, up to this point. This means we subtract the area to the left of 200, 0.5 (half of the data goes from the mean left), from this:
0.9338-0.5=0.4338.
We want to find the z-scores associated with the ends of the ranges. The z-score for 200 would be 0, since it is 0 away from the mean. To find the z-score of 275 we use the formula:
Using a z-table (http://www.z-table.com) we can find the area under the curve to the left of 1.5 (everything less than that, so every score less than 275). This is 0.9338. However, we only want the range from the mean, 200, up to this point. This means we subtract the area to the left of 200, 0.5 (half of the data goes from the mean left), from this:
0.9338-0.5=0.4338.