Given that angle three is 60 degrees. Angle one is (x - 10) and ange two is [+7The sum of three anges of a triangle is 180 degrees PartA-Construct the linear equation and type it in this box. Make sure to type the linear equation with spaces between the values and symbols
Part B - solve for x and type the value of x in the box as x=-
Part Use the value of x to solve for the measure of angle and angle three. Complete the statement below with the correct values.
The measure of angle two is
and the measure of angle three is

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

thus, the first answer choice, y = sec x, is the correct one

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.

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