Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as 
and 
Therefore, 
Substituting the given measures of the angles, we get
So, x = 
Since, the measure of angle POR = 
= 
= 
Therefore, the measure of angle POR is 49 degrees.
Answer:
x = 88
Step-by-step explanation:
These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary
x + 92 =180
Subtract 92 from each side
x+92-92=180-92
x =88
Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:
The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:
The standard deviation of the sample is calculated as:
Then, we can calculate the standard error of the mean as:
Answer:
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation . Example 1: If y varies directly as x and y = 15 when x = 24 , find x when y = 25 .
Step-by-step explanation:
Hope this helps, mark brainliest
