In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

Below.

Step-by-step explanation:

Part A.

m < RPB = 180 - 115 = 65 degrees.

So the m < x =  180 - 65 - 62

= 53 degrees.

Part B.

First line of Part A:

M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.