Solve for the answer and you'll get 30 points. don't mind the 63

B = 18

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

D = B+C

117 = 8x+27 + B

Angle A and angle B are supplementary, which means they from a straight line.  They add to 180 degrees  

<A + <B = 180

18x + <B = 180

Solving for B

B = 180 -18x

Putting this into the above equation

117 = 8x+27 + 180-18x

Combing like terms

117 = 207-10x

Subtract 207 from each side

117-207 = 207-207 -10x

-90 = -10x

Divide by -10

-90/-10 = -10x/-10

9= x

We need to find angle B

B = 180 -18x

   = 180 - 18(9)

   = 180 -162

   = 18

i think it would be c

mark brainliest if im right

step-by-step explanation:

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.