Answer:
35.57 degrees
Step-by-step explanation:
tan x = 108/151
tan x = 0.71523
x = 35.57 degrees
A rotation of a point on the coordinate system for 180 degrees about the origin results in (x, y) → (-x, -y).
Given that the coordinate of L is (2, 2), then the coordinates of L' is (-2, -2).
Given that the coordinates of N is (1, 6), then the coordinate of N' is (-1. -6)
Therefore, the <span>statements that are true regarding the transformation are:
</span><span>The rule for the transformation is (x, y) → (–x, –y).
</span>
<span>The
coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).</span>
Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
2/3 x=10
Multiply 3*(2/3 x)=3*10
2x=30
x=15
A is the answer
Answer:
3rd angle of a triangle = x = 75°
Step-by-step explanation:
1st angle of a triangle = 50°
2nd angle of a triangle = 55°
3rd angle of a triangle = x = ?
We know that sum of three angle of triangle = 180°
1st angle of a triangle + 2nd angle of a triangle + 3rd angle of a triangle = 180°
50° + 55° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°
3rd angle of a triangle = x = 75°
