An isosceles triangle has base angles that each measure 52º. Which equation can be used to find z, the measure of the third angle of the isosceles triangle in degrees?
A. 104 + 2z = 180
B. 104 + z = 180
C. 52 + 2z = 180
D. 52 + z = 180

I'm not the best at this but the answer that makes the most sense is B. 104+z=180

Step-by-step explanation: A triangle has 2 sides which are both 52 degrees. Add those to get 104 degrees. Now since a triangle has 3 sides we need to find the one other side so no answers with 2z match meaning the answer should be B.

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;