A candle is placed \( 20 \mathrm{~cm} \) from the surface of a convex mirror and a plane mirror ...

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A candle is placed \( 20 \mathrm{~cm} \) from the surface of a convex mirror and a plane mirror is also placed so that the virtual images in the two mirrors coincide. If the plane mirror is \( 12 \mathrm{~cm} \) away from the object, what is the focal length of the convex mirror?
(1) \( 20 \mathrm{~cm} \)
(2) \( 15 \mathrm{~cm} \)
(3) \( 10 \mathrm{~cm} \)
(4) \( 5 \mathrm{~cm} \)
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