The interior angles of a triangle must add up to 180 degrees.
Therefore, the three angles inside of this triangle should equal 180 degrees when added together.
Combine like terms by adding 68.5 and 49.5
We want to find the value of x. Therefore, we must get x by itself.
We should perform the inverse operation to both sides. 118 is being added to x. The inverse of addition is subtraction. Subtract 118 from both sides.
x is 62 degrees.
the value of BD is 18.
Our given are two triangles and these triangles are congruent. It means that they have the same measures of angles and sides.
ΔABD ≅ AFEC, based on this we find there equivalent sides and angles
AD ≅ FC (measures 19.7)
∠A ≅ ∠F (measures 63°)
FE ≅ AB (measures 12)
∠B ≅ ∠E (measures 72°)
∠D ≅ ∠C (measures 45°)
lastly BD ≅ CE (measures 18).
Answer: A. 14.02 to 15.98
Let denotes the mean waiting time for population.
Given : Sample size : n= 64
Sample mean : (minutes)
Population standard deviation =
Confidence level : 95%
By z-table , the critical values for 95% confidence = z*=1.96
Confidence interval for population mean :
The 95% confidence interval for the population mean of waiting times will be :
Hence, the 5% confidence interval for the population mean of waiting times is 14.02 to 15.98.
Thus , the correct answer is Option A.