Mattea was asked to find the measure of an interior angle of a regular octagon. Mattea’s work is shown below. Steps Mattea’s Work Step 1 (n minus 2) 180 degrees = (9 minus 2) 180 degrees Step 2 7 (180 degrees) = 1260 degrees Step 3 1260 degrees divided by 8 = 157.5 degrees Where, if at all, did Mattea first make a mistake finding the measure of an interior angle? step 1 step 2 step 3 Mattea did not make a mistake.

47 - 90 = 43

43 - 180 = x

x = 137

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;

the area of the piece of paper =   27- inch square.

so, the length of the square piece of paper = = .

the side of the triangle cut = =

also the side of the small square cut =

so, the area of each triangle cut = 1/2 * .

so, the area of 4 triangles cut =

area of a small square cut =

total area of 4 triangles cut and a small square cut = 6+3 = 9 square inches.

reaming area of the octagonal window   = 27 - 9 = 18 square inches.