Using this map, what motivated Turkish people to expand so far from their original homeland, and why were they so successful in creating new states?

In a government based on the consent of the governed, who has the ultimate authority?

What is the term eccentricity a measure of?

This is an ap world history question. i am working on a worksheet which has a vent diagram with each circle labeled either us or byzantine economy. the middle is the similarities. can someone explain to me the similarities and especially the differences between the two?