How could you use coordinate geometry to prove that segment BD and segment AC bisect one another?

Prove the slopes are the same

Prove the slopes are opposite reciprocals.

Prove the lengths are the same

Prove the midpoints are the same.

Please Help! :(

I think it's prove the midpoints are the same

Step-by-step explanation:

I'm not completely sure but I'm taking it right now and I believe that's the most logical answer because if they meet up at the same midpoint then they could bisect each other.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.