What was the reasoning given by the Supreme Court for making their decision on the Plessy vs. Ferguson case? (Please help me it need this before 10-30-2020)

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Explanation:

Plessy v. Ferguson, 163 U.S. 537 (1896), was a landmark decision of the U.S. Supreme Court that upheld the constitutionality of racial segregation laws for public facilities as long as the segregated facilities were equal in quality, a doctrine that came to be known as "separate but equal".Ferguson, Judgement, Decided May 18, 1896; Records of the Supreme Court of the United States; Record Group 267; Plessy v. Ferguson, 163, #15248, National Archives. The ruling in this Supreme Court case upheld a Louisiana state law that allowed for "equal but separate accommodations for the white and colored races."

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pizarro staged a mock trial and found atahualpa guilty of revolting against the spanish, practicing idolatry, and murdering huáscar, his brother. atahualpa was sentenced to execution by burning. he was horrified, since the inca believed that the soul would not be able to go on to the afterlife if the body were burned.

when christopher columbus arrived on the bahamian island of guanahani (san salvador) in 1492, he encountered the taíno people, whom he described in letters as "naked as the day they were born." taíno influences survived, however, and today appear in the beliefs, religions, language, and music of caribbean cultures.

ad 1492: taíno meet columbus; “new world” gets new diseases. in the bahamas, the taíno are 125,000 strong in 1492 when they encounter the crew and the italian captain of three spanish ships. christopher columbus seeks a shorter sea route to india to spain get a foothold in the profitable spice trade.

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p.s plz make me a brinties