Final answer:
The metric used by a neighboring EIGRP router when advertising to another device typically includes Bandwidth and Delay, which are the default components for EIGRP's metric calculation. Reliability and Load can be included if the K values are modified.
Step-by-step explanation:
The Enhanced Interior Gateway Routing Protocol (EIGRP) uses a combination of metrics to calculate the best path to a destination network. These metrics can include Bandwidth, Delay, Reliability, and Load. However, by default, EIGRP uses only Bandwidth and Delay as the primary metrics for route calculation.
In the case of the metric used by a neighboring router that is advertising to this device, it's a combination of the minimum bandwidth of the path from the originating router to the destination network and the total delay of the path, as observed by the advertising router. The other metrics, such as Reliability and Load, can optionally be used in the metric calculation if K values are adjusted, but they are not part of the default EIGRP metric components.