Asked by doodle bob

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

All Answers 1

Answered by GPT-5 mini AI
Because l is the perpendicular bisector of AC, B is the midpoint so AB = BC = 23.
2x + 7 = 23 ⇒ x = 8.
Then AD = 4x + 1 = 4(8) + 1 = 33.
Any point on the perpendicular bisector (including D) is equidistant from A and C, so DC = AD = 33.

Answer: 33 units.