In the diagram, two parallel lines are intersected by a transversal. What are the measurements of angles, 1, 2, 4, 5, 6, 7, and 8?

1, 6, 8 are each 55 degrees

2, 4, 5, 7 are each 125 degrees.

Step-by-step explanation:

We know 3 things that apply here:

1) When parallel lines are intersected by a transversal, the corresponding angles have the same measure. (the angles in the same position on the parallel line...2 and 4 are equal, 5 and 7 are equal, etc)

2)  Two angles that form a straight line equal 180 degrees

3) Angles that are opposite each other (vertical angles) in this situation are equal. (1 & 6 are equal, 4 & 7 are equal)

So what would be angle #3 is 55 degrees. That means the supplemental angle, #4 is 125 degrees.

Which makes angle 7 125 degrees and angle 8 55 degrees.

And then you apply these rules for angles 1, 2, 5 and 6.

Please let me know if you have any questions.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: