Answer:
OX ≈ 7.09 units
Explanation:
Triangles OBX and OPD are similar, so corresponding sides are proportional.
OX/OD = OB/OP
We are given that OD +OX = 13, so we can write this proportion as ...
OX/(13 -OX) = 12/10
10·OX = 12(13 -OX) . . . . multiply by 10(13 -OX)
22·OX = 156 . . . . . . add 12·OX and simplify
OX = 156/22 = 7 1/11 ≈ 7.09091
OX ≈ 7.09 units