A side of the triangle below has been extended to form an exterior angle of 142°. Find the value of x.

x is 52°

Step-by-step explanation:

Find the diagram attached.

The sum of interior angles is equal to exterior

Interior angles are 90° and x°

Exterior angle = 142°

90+x = 142

x = 142-90

x = 52

Hence the value of x is 52°

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;