Replaced how? If you mean like the Roman empire, that would be incorrect. Both empires considered each other Roman and both empires considered themselves Roman. So when the west fell, the Byzantines did not 'replace' the western Romans in being Roman. Instead, they just kept on being Roman as their western counterparts fell. However, for a period, the Byzantines did manage to reconquer parts of the Western Empire and even Rome, but that was relatively short-lived. In that case, you could argue that the Byzantines sort of did replace the western Romans in being the Roman empire with Rome in its possession. However, that is a stretch in my opinion.
In short: False, the Eastern Romans did not replace the western Romans as they were both seen as Romans, just with different governments.
The "broken little finger of Asia" refers to Korea.
Hope it helped!
The correct answer to this open question is the following.
Former President Theodore Roosevelt's decision to participate influenced the election and the Progressive Party in that another serious contender participated in the disputed election of 1912. US citizens had a pull of four candidates that polarized the election in which the winner was Democratic candidate Woodrow Wilson.
Elected candidate Woodrow Wilson ended up with 435 electoral votes and 6,293,454 popular votes. Former US President Theodore Roosevelt finished in second place with 88 electoral votes and 4,119,207 popular votes.
One reason for this result was the fact that the Republicans faced a serious internal division in the party when Republicans decided that William Taft was going to be its candidate. That is why Roosevelt decided to compete for the Progressive party, taking with him many members and votes that formerly belonged to the Republican party.