Use similar triangles

  OX ≈ 7.09 units

Step-by-step 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

47/6 =  7  5/6

Step-by-step explanation:

Take 47 and divide by 6

6*7 = 42

47-42 = 5

6 goes in 7 times with 5 left over

The left over part goes over the denominator

7 5/6