Can anyone help? This is super difficult.

A

Step-by-step explanation:

Recall that from the Exterior Angle Theorem, the exterior angle is equal to the sum of the two interior angles opposite from the exterior angle.

In other words:

We are given the expressions of each angle. Substitute:

Solve for x:

Hence, the value of x is 15.

Then the measure of ∠QPT will be:

In conclusion, our answer is A.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

5

step-by-step explanation: