Name the property of congruence that justifies this statement: if angle w is congruent to angle x and angle x is congruent to angle y then angle w is congruent to angle y a transitive property b reflexive property c symmetric properly d none of these

A. transitive property of congruence

Step-by-step explanation:

For example if and  

Then    

or if and  

Then  [tex]\angle{A}=\angles{C}[tex]

Thus, if  angle W is congruent to angle X and angle x is congruent to angle y then angle w is congruent to angle y by Transitive property of congruence.

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;