Given the following angle measurements, tell whether each pair is complementary, supplementary, or neither. a. 12° and 68° b. 95° and 85° c. 43° and 48° d. 70° and 20°

A)  12° + 68° = 80 neither.

B) 95°+ 85° = 180° ( Supplementary angles)

C) 43° + 48° = 91° ( neither)

D) 70°+ 20° = 90° ( Complimentary angles).

Step-by-step explanation:

Given  : Angles .

To find : measurements, tell whether each pair is complementary, supplementary, or neither.

Solution : We have given angles.\

Complimentary angles: The sum of two angles is 90°

Supplementary angles: When the sum of two angle is 180

A)  12° + 68° = 80 neither.

B) 95°+ 85° = 180° ( Supplementary angles)

C) 43° + 48° = 91° ( neither)

D) 70°+ 20° = 90° ( Complimentary angles).

Therefore, A)  12° + 68° = 80 neither.

B) 95°+ 85° = 180° ( Supplementary angles)

C) 43° + 48° = 91° ( neither)

D) 70°+ 20° = 90° ( Complimentary angles).

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;