AJKL is similar to ARST. What is the value of x?

Aladder that is 30 ft long needs to reach 27 ft up a building. what should the angle of the vertical be?

Does the point (1, sqrt 7) lie on circle shown.

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv