An angle measures 50° more than the measure of its supplementary angle. What is the measure of each angle?

Step-by-step explanation:

Let angle x and angle y be the supplementary angles.

Because both angles are supplementary, we know that:

x+y=180

It also tells us that the greater angle (which we will assume as x) is 50 degrees greater, thus:

x-y=50

Solving both equations we get x=115 and y=65.

Therefore the two angle measures are 115 and 65 degrees.

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;

i think the amount would be $140.62