The correct answers are Inane and Arbitrarily.
These two answers fit the blank spaces that were indicated in the sentence.
Inane literally means being foolish, absurd, senseless, etc. The first blank space probably fits this word because it says that you made a thoughtless remark. With the word inane, the sentence can be understood as being insulted or was made as a laughing stock.
Answer:he was best known for his work on the Shroud of Turin, the Vinland map, and Forensic science.
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