Give three ratios equivalent to 7:9
2 answers:
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Answer:
1) m ∠B = 132°
2) m ∠B = 113°
Step-by-step explanation:
1. In triangle ABC, m ∠A=36, and m ∠C=12. Calculate m ∠B.
We are given measure of 2 angles and we need to find the third angle.
We know that, sum of angles of triangle = 180°
We can write as:
∠A + ∠B + ∠C = 180°
Now put m ∠A=36 and m ∠C=12, to find m ∠B
So, we get m ∠B = 132°
2. In triangle ABC, m ∠A=40, and m ∠C=27. Calculate m ∠B.
We are given measure of 2 angles and we need to find the third angle.
We know that, sum of angles of triangle = 180°
We can write as:
∠A + ∠B + ∠C = 180°
Now put m ∠A=40 and m ∠C=27, to find m ∠B
So, we get m ∠B = 113°
Given:
The speed, s, is measured in miles per hour, and distance, y, is measured in yards.
The regression line is given by
...(i)
To find:
The slope and y-intercept of the regression line.
Solution:
The general form of linear regression line is
...(ii)
where x is variable. In the given equation the variable is denoted by s.
On comparing (i) and (ii), we get
It means slope is 52.45 and y-intercept is 4.17.
The slope, b = 52.45, indicates that the distance increases by 52.45 yards for every one mile per hour of speed.
The y-intercept, a = 4.17, is the distance estimated by this model if the speed is zero miles per hour.
Therefore, the correct option is A.