One angle of atriangle measures 12 degrees. the second angle's measurements is five times the third. what is the measure of the
1 answer:
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Answer:
- The Expression will be defined if the denominator is not equal to 0 since any number divided by 0 is undefined.
- Therfore our main priority here is to check the denominator only because it's the only part that can make the expression undefined
- the expression will be defined for all real numbers (a) BUT 3+a must not equal to 0 therfore (a) can be all real numbers but must never be equal to -3
Step-by-step explanation:
- HOPE THIS HELPS!
Answer:
27 men had a pulse rate between 56 & 100.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 36
Five number summary:
Lowest value: 56
Lower Quartile: 71
Median: 80
Upper Quartile: 100
Highest value: 140
We have to find the number of men that had a pulse rate between 56 & 100.
56 is the lowest value of data and 100 is the third quartile of data.
Now, the third quartile give 75 percentile of data, thus, 75% of data lies between lowest value and the third quartile.
Thus, 75% of men have a pulse rate between 56 & 100.
Number of men that had a pulse rate between 56 & 100 =
Thus, 27 men had a pulse rate between 56 & 100.
Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st
Step-by-step explanation:
Parallel lines have:
- Same slopes
- Different y-intercepts
The formula of the slope of a line which passes through points and
is
∵ The given line passes through points (-12 , -2) and (0 , -4)
∴ = -12 ,
= 0
∴ = -2 ,
= -4
- Use the formula of the slope above to find the slope of the given line
∵
∴ The slope of the given line is
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line =
∵ The parallel line passes through point (0 , 6)
- The form of the linear equation is y = mx + b, where m is the slope
and b is the y-intercept (y when x = 0)
∵ m = and b = 6
∴ The equation of the parallel line is y = x + 6
Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line
Point (-12 , 8)
∵ x = -12 and y = 8
∵ y = (-12) + 6
∴ y = 2 + 6 = 8
- The value of y is equal the y-coordinate of the point
∴ Point (-12 , 8) is on the line
Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/9527422
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