Find the value of x please also this is geometry

Given:

A figure of a triangle.

To find:

The value of x.

Solution:

In a triangle, angle bisectors intersect each other at a point which is know as incenter. This point is equidistance form the each side.

Using the above property, we get

Divide both sides by -2.

Therefore, the value of x is 3.

$15 each

step-by-step explanation:

$45/3 children= $15 each

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;