Question

Segment start overline, B, D, end overline
BD
bisects segment start overline, A, C, end overline
AC
. Solve for xx. Round to the nearest tenth, if necessary. (Image not necessarily to scale.)

Answer 1

I don't have the diagram or the algebraic expressions that label the pieces of AC. Could you either upload the image or type the length expressions shown for AD and DC (or for AC broken into two parts)?

How to solve once you give those expressions:
- "BD bisects AC" means D is the midpoint of AC, so AD = DC.
- Set the two expressions equal and solve for x.
- Check the solution by substituting back; round to one decimal if asked.

Example: if AD = 3x + 4 and DC = 5x − 2, then
3x + 4 = 5x − 2
4 + 2 = 5x − 3x
6 = 2x
x = 3.

Send the specific expressions and I'll solve it.