It is possible to join three identical resistors in four distinct arrangements. Two of these arrangements have resistances of $4.0\,\Omega$ and $9.0\,\Omega$. Determine the resistance of one resistor.
- A$3.0\,\Omega$
- B$6.0\,\Omega$
- C$12\,\Omega$
- D$18\,\Omega$