Answer:
80 degrees.
Step-by-step explanation:
The arc PS = 2 * the angles subtended by PS ( that is < PRS)
= 2 * 40 = 80 degrees.
Answer:
I think your answer would be C I am not sure the way I worked it out says C. I hope this helps you out.
Answer:
Mean = 15.83 hours
Median = 17 hours
Step-by-step explanation:
The first step to follow when dealing with data distributions is to arrange the data in either an ascending or descending order.
Once this is done, we have the responses as
responses: 9. 14, 16, 18, 19, 19
The mean of the distribution can be obtained by dividing the total sum of the values, by the number of respondents.
this is 
The mean of the distribution is 15.83 hours
The median is obtained by picking out the middle number of the distribution. However, our distribution is even, and hence has two middle numbers. To solve this , we simply add the two numbers and divide by 2
= (16 + 18 )/2 = 34/2 = 17
Answer:
A = 114°, B = C = 33°
Step-by-step explanation:
The triangle relationships let you write two equations:
A+B+C = 180
B=C
Substituting the expressions for A, B, and C, you have ...
(x+7y+41) +(2y+13) +(6x+15) = 180
7x +9y +69 = 180
7x +9y = 111
And the second equation gives ...
(2y+13) = (6x+15)
6x -2y =-2
3x -y = -1
Now, we can add 9 times this second equation to the first to eliminate the y-variable.
(7x +9y) +9(3x -y) = (111) +9(-1)
34x = 102
x = 3
Then the angle measures are ..
B = C = 6·3+15 = 33
A = 180 -2·33 = 114
The angles in the triangle are (A, B, C) = (114°, 33°, 33°).
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