Triangle bac was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle xyz. based on these transformations, which statement is true?

coordinate plane with triangles acb and xyz with a at negative 4 comma 4, c at negative 1 comma 3, b at negative 4 comma 0, x at 0 comma 8, y at 8, comma 8, and z at 6 comma 2

∠c ≅ ∠x
∠c ≅ ∠y
∠a ≅ ∠y
∠a ≅ ∠x

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

Which expression is equal to (21)(7)(3x) using the associative property? (21 · 7 · 3)x (7)(21)(3x) 32(7 + 3x) (3x)(7)(21)

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?