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.

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

Find the slope and the y-intercept if there's one and the equation of the line given these two points( 3, 2) and( 3, -4)