The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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Answer:
25. a = 60
26. a = 17
Step-by-step explanation:
In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure
so we have
25.

and for 26 we have

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➷ 3x + 1 = 511
Subtract 1 from both sides:
3x = 510
Divide both sides by 3:
x = 170
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Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where
is the sample mean ,
is the population standard deviation , n is the sample size and
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean :
hours
Population standard deviation :
hours
z-value for 93% confidence interval:
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)