The horizontal lines are parallel. Find the value of x.
A. 27
B. -28
C. 28
0 D. 29

C. 28

Step-by-step explanation:

Because the two lines are parallel, according to the law of co-interior angles, they will add together to 180 degrees. (Because if you slide the 4x angle down past line g, they lie on the same line on either side of g).

Therefore we can write an equation to solve for x:

4x+(2x+12) = 180

Take out of brackets:

4x+2x+12 = 180

Combine terms and move 12 to other side:

6x + 12 - 12 = 180-12

6x = 168

Divide both sides by 6:

6x/6 = 168/6

x=28

Hope this helped!

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;