What is a correct congruence statement for the triangles shown? enter your answer in the box. △ ≅△nkw pls

The correct congruence statement for the triangles are ASA congruence.

Step-by-step explanation:

In the given figures ΔRHS≅ΔNKW

we have to give the correct congruence statement for these triangles

In ΔRHS and ΔNKW

∠RHS=∠NKW        (∵Given)

HS=KW                  (∵Given)

∠HSR=∠KWN        (∵Given)

Here, two angles and one side between them are equal. So by ASA criteria which states that when two corresponding angles of the triangles are equal with included one side between them is equal, then both triangles are congruent. ΔRHS≅ΔNKW.

Hence, the correct congruence statement for the triangles are ASA congruence.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.