What is the measure of one of the interior
angles of the regular quadrilateral?

Measure of one of the interior angles ⇒ 90°

Step-by-step explanation:

If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;

Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;

So if all these angles are ≅, we can claim that;

m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles

x + x + x + x = 360 degrees ( ° ),

4x  = 360°,

x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,

Solution; Measure of one of the interior angles⇒ 90°

19.side- angle- side

20. angle- side- angle

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.