Answer :

To determine whether a 10-gage wire and a 14-gage wire have the same diameter, we need to refer to the standards set by the American Wire Gauge (AWG) system.

The AWG system is a standardized wire gauge system used in the United States and other countries for diameters of round, solid, non-ferrous electrical wire. According to the AWG system:
- A 10-gage (or 10 AWG) wire has a diameter of approximately 0.1019 inches.
- A 14-gage (or 14 AWG) wire has a diameter of approximately 0.0641 inches.

To assess if these wires have the same diameter, we compare their diameters:
- Diameter of 10-gage wire: 0.1019 inches
- Diameter of 14-gage wire: 0.0641 inches

Since 0.1019 inches is clearly different from 0.0641 inches, we conclude that the diameter of a 10-gage wire is not equal to the diameter of a 14-gage wire. Thus, the statement "A 10-gage wire and a 14-gage wire have the same diameter" is:

False

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