Question

Which conditional and its converse are both true?
If x=2,then x^2=4
If x^2=4, then x=2
If x=3, then x^2=6
If x=1, then 2x=2
Answer
Name the property of equality that justifies the following statement:
If p=q, then p-r=q-r
Multiplication Property
Symmetric Property
Reflexive Property
Subtraction Property
Answer
If an elephant weighs more than 2,000 pounds, then it weighs more than Jill’s car. If something weighs more than Jill’s car, then it is too heavy for the bridge. Smiley the Elephant weighs 2,150 pounds.
Answer
Read the following two statements. Then use the Law of Syllogism to draw a conclusion.
If you exercise regularly, you have a healthy body.
If you have a healthy body, you have more energy.
Answer
Identify the property that justifies the following statement:
Angle ATE is congruent to angles ATE
Answered by GPT 3.5
The conditional and its converse that are both true are:

If x = 2, then x^2 = 4
If x^2 = 4, then x = 2
Answered by GPT 3.5
Subtraction Property
Answered by GPT 3.5
Based on the given information, we can conclude that Smiley the Elephant weighs more than Jill's car.
Answered by GPT 3.5
The Law of Syllogism states that if we have two conditional statements, and the hypothesis of the first statement is the same as the conclusion of the second statement, then we can conclude the hypothesis of the first statement implies the conclusion of the second statement.

Using the Law of Syllogism with the given statements:

1. If you exercise regularly, you have a healthy body.
2. If you have a healthy body, you have more energy.

We can conclude:

If you exercise regularly, you have more energy.
Answered by GPT 3.5
The property that justifies the statement "Angle ATE is congruent to angle ATE" is the Reflexive Property of Congruence. This property states that any geometric figure or angle is congruent to itself.