Question

which of the following represent inductive reasoning? select all that apply. athletes who dont drink water during practice become dehydrated. cate is not drinking water during practice, so he will become dehydrated. perpendicular lines form 90° angles. lines l and k are perpendicular, so they form 90° angles. nobody goes to the park when it is raining. it is raining, so nobody will be at the park. the seas are rough when the skies are red in the morning. the sky is red this morning, so the seas will be rough. the sum of the measures of a pair of complementary angles is 90. angles ∠jkl and ∠abc are complementary, so the sum of their measures must be 90.

Explanation:

Inductive reasoning makes generalizations based on specific observations.

1. Athletes who don't drink water during practice become dehydrated. Cade is not drinking water during practice, so he will become dehydrated - This is inductive as it generalizes from athletes' behavior to Cade's case.
2. Perpendicular lines form 90° angles. Lines l and k are perpendicular, so they form 90° angles - This is deductive (going from general rule to specific case).
3. Nobody goes to the park when it is raining. It is raining, so nobody will be at the park - This is deductive.
4. The seas are rough when the skies are red in the morning. The sky is red this morning, so the seas will be rough - This is inductive.
5. The sum of the measures of a pair of complementary angles is 90°. Angles ∠JNL and ∠ABC are complementary, so the sum of their measures must be 90 - This is deductive.

Answer:

Athletes who don't drink water during practice become dehydrated. Cade is not drinking water during practice, so he will become dehydrated; The seas are rough when the skies are red in the morning. The sky is red this morning, so the seas will be rough