* This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] * Given: ​△ABC​ with side lengths a, b, and c, and height h

Prove: ​Area=12absinC​

Triangle A B C has sides a b c. A vertical dashed line extends from angle B perpendicular to side b.

Drag and drop the statements into the boxes to correctly complete the proof.

Statement Reason
​△ABC​ with side lengths a, b, and c, and height h Given
​​1 Triangle area formula
​​ ​sinC=ha​ Definition of sine
​​2 Multiplication Property of Equality
Area=12basinC Substitution Property
​​3 Commutative Property of Multiplication​​

idk

step-by-step explanation:

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y

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.