Triangle end is reflected across the line y = x using the rule (x, y) → (y, x) to create triangle e′n′d′. if a line segment is drawn from point e to point e′, which statement would best describe the line segment drawn in relation to the line y = x?

a-both are congruent to each other.
b- both create diameters of concentric circles.
c- they are parallel.
d- they are perpendicular.

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?

Charlie is at an amusement park that has 18 different rides. each ride costs $1.75. the function c(r) = 1.75r represents the total amount of money that charlie will spend if he goes on r rides, but he never goes on the same one more than once. what domain and range are reasonable for the function?

Stephanie runs three days a week. she ran 3 2/3 miles on monday , 4 1/5 miles on wednesday , and 2 2/9 miles on friday. how many miles did she run this week ?