Question

which answers are examples of deductive reasoning? select each correct answer. all three angles in an equilateral triangle measure 60°. triangle abc is an equilateral triangle. therefore, all three angles in triangle abc measure 60°. mary and sue are friends. mary enjoys fishing, running, and rock climbing. sue likes fishing and rock climbing. sue must also like running. jonathan leaves for school at 7:30 a.m. and is on time. jonathan will always be on time if he leaves at 7:30 a.m. the local grocery store charges $3 for a gallon of milk. joe is going to the local grocery store to buy milk. therefore, joe expects to spend $3 for a gallon of milk.

Explanation:

Deductive reasoning starts from general principles and reaches specific conclusions. In the first example, the general rule about equilateral - triangle angles is applied to a specific triangle \(ABC\). In the fourth example, the general price at the grocery store is used to predict the cost for Joe's specific purchase. The second example is an assumption based on friends' shared activities, not deductive. The third example is an over - generalization as past on - time arrival doesn't guarantee future on - time arrival.

Answer:

All three angles in an equilateral triangle measure 60°. Triangle \(ABC\) is an equilateral triangle. Therefore, all three angles in triangle \(ABC\) measure 60°.
The local grocery store charges $3 for a gallon of milk. Joe is going to the local grocery store to buy milk. Therefore, Joe expects to spend $3 for a gallon of milk.