In the diagram, the length of segment BC is 23 units.

Line l is a perpendicular bisector of line segment A C. It intersects line segment A C at point B. Line l also contains point D. Line segment A B is 2 x + 7. Line segment A D is 4 x + 1.
What is the length of segment DC?

13 units
18 units
33 units
46 units

What fraction is equivalent to 0.46464646··· a. 46⁄99 b. 46⁄999 c. 46⁄100 d. 23⁄50

Solve 17= -13 - 8x and show your work.

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations