Pls 100 pts and ! 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) ab and cd are parallel lines, and pq and pr are transversals which intersect ab at p and cd at q and r. angle apq is labeled as 62 degrees, angle qpr is equal to x, angle prd is equal to 115 degrees.

Part A: 62 + X = 115

X= 115 - 62

X = 53

Part B:

APQ + QPR = PRD

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer

a) the midrange of the data set shown is 85.5

step by step explanation

let's find the midrange.

the midrange is nothing but add the greatest value and the least value, then divide it by 2.

here the greatest value = 99

the least value = 72

midrange = (99 + 72)/2

= 171/2

midrange = 85.5

you.