Question What led to Britain establishing colonies in the Pacif a Polynesian navigators invited the British to establish a colony.

. Polynesian navigators invited the British to establish a colony.
France paid for British explorers to settle in the islands.
France paid for British explorers to settle in the islands.
the Dutch arrived in Australia and established colonies.
the Dutch arrived in Australia and established colonies.
Captain James Cook, a British captain, explored the Pacific islands reaching the Southeast coast of Australia.

The correct statement is: Captain James Cook, a British captain, explored the Pacific islands reaching the Southeast coast of Australia.

This exploration by Captain Cook and subsequent voyages by other British explorers in the late 18th century led to Britain establishing colonies in the Pacific. Cook's exploration of Australia and his favorable reports about the fertile land and resources found there encouraged the British to claim Australia as a colony in 1788. Other Pacific islands, such as Fiji and Tonga, were also colonized by the British due to their strategic location and potential for trade and resources.