Step-by-step explanation:
To find - Determine the hypothesis and the conclusion of the given
statement the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Proof -
Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.
1.)
Given statement - Vertical angles are congruent
Conditional statement - If two angles are vertical , then they are congruent.
Hypothesis - Two angles are vertical
Conclusions - They are congruent.
2.)
Given statement - Bats are mammals that can fly
Conditional statement - If bats are mammals , then they can fly.
Hypothesis - Bats are mammals
Conclusions - They can fly.
3.)
Given statement - You are a good citizen when you obey rules and regulations.
Conditional statement - If you are a good citizen , then you obey rules and regulations.
Hypothesis - You are a good citizen
Conclusions - You obey rules and regulations.
4.)
Given statement - A number is divisible by 10 if its last digit is a 0.
Conditional statement - If a number is divisible by 10, then its last digit is a 0.
Hypothesis - A number is divisible by 10
Conclusions - Its last digit is 0.
5.)
Given statement - 3x + 6 = 21, because x = 5
Conditional statement - If 3x + 6 = 21, then x = 5
Hypothesis - 3x + 6 = 21
Conclusions - x = 5