Answer:
1. Without any evidence, the teacher's <em><u>supposition</u></em> Amy had cheated on the exam could not be proven.
2. Because of their professor's <em><u>sagacity</u></em><em> </em>in teaching, the medical students had no problem passing the exam.
3. Jared's senses were more <em><u>acute</u></em><em> </em>than his friends so he heard the bear running from miles away.
4. Still, it wasn't the first time they had <em><u>vehemently</u></em> disagreed on something.
5. She concluded from his tone that he was <em><u>vexed</u></em> with her and wished to end the conversation.
6. The crooked car dealer often tricked car buyers by using <em><u>dissimulation</u></em> flaws in the vehicles.
7. Amanda had the <em><u>audacity</u></em> to show up to the party, despite the fact that she was not invited.
Explanation:
1. Without any evidence, the teacher's <em><u>supposition</u></em> Amy had cheated on the exam could not be proven.
Here, the word "supposition" refers to a baseless assumption made, a speculation based on hypothesis or belief with really no proof.
2. Because of their professor's <em><u>sagacity</u></em><em> </em>in teaching, the medical students had no problem passing the exam.
The word "sagacity" means someone who is thoughtful, insightful, understanding,
3. Jared's senses were more <em><u>acute</u></em><em> </em>than his friends so he heard the bear running from miles away.
Acute means to have a stronger sense, being aware of things more than normal.
4. Still, it wasn't the first time they had <em><u>vehemently</u></em> disagreed on something.
Vehemently means strong, intense feeling.
5. She concluded from his tone that he was <em><u>vexed</u></em> with her and wished to end the conversation.
Vexed means to be annoyed, irritated by, made angry.
6. The crooked car dealer often tricked car buyers by using <em><u>dissimulation</u></em> flaws in the vehicles.
Here, "dissimulation" means to be dishonest, to lie, to hide true facts, or to fake. feelings or opinions.
7. Amanda had the <em><u>audacity</u></em> to show up to the party, despite the fact that she was not invited.
The word "audacity" means to dare to do, to be bold, to have the guts, the courage to do something, the nerve, the insolence to do something.