Aaa (angle-angle-angle) does not guarantee congruence between two triangles.

→→→AAA= Angle -Angle- Angle

Suppose there are two equilateral triangles, having length of sides being ,6 cm and of other equilateral triangle measure of sides being 13 cm.

Each interior angle of Both the equilateral triangle will be of 60 degree,but they are not congruent,as size of equilateral triangle having side length 13 cm will be larger than side of equilateral triangle having side length 6 cm.

Both the Equilateral triangle are similar , but not congruent.

→"Congruency guarantees, similarity", but "Similarity does not guarantee Congruency".

So, this a way through which i have explained that

  AAA (angle-angle-angle) does not guarantee congruence between two triangles.

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;

when the daily mileage is greater than 40 miles, unlimited mileage plan will save you money. 40 miles is the break-even point.

step-by-step explanation: