Answer:
x=29.9 degrees
Step-by-step explanation:
Sides we are given: x and side length of 92.
Angle we are given: angle of measure 18.
Relative to the angle we are given, we have the opposite and adjacent sides, so we use TOA, as O is opposite and A is adjacent.
Tangent 18= x/92
Tangent 18 (92)=x
x=29.9 degrees
The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
<h3>Equation of a line</h3>
A line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:c=200
Step-by-step explanation:
30(5) + 50 = 200
20(5) + 100 = 200
-------------------------------|
100 30m
- 50 - 20m
——— ———
50 10m 50/10 = 5 [m=5]
Answer:
100%
Step-by-step explanation:
Use conditional probability:
P(B | A) = P(B and A) / P(A)
P(B | A) = (12/28) / P(A)
We need to find the probability that a student studies art.
P(A or B) = P(A) + P(B) − P(A and B)
24/28 = P(A) + (12+12)/28 − 12/28
P(A) = 12/28
P(B | A) = (12/28) / (12/28)
P(B | A) = 1
What this means is that all of the students who study art also study biology.
Answer:
5/6
Step-by-step explanation:
The ratio is:
45 / 54
Or, reduced:
5 / 6
