Write the following statement as a biconditional: If two angles are vertical angles, then they are congruent (1 point) Responses Two angles are vertical angles if and only if they are congruent. Two angles are vertical angles if and only if they are congruent. Two angles are not vertical if and only if they are not congruent. Two angles are not vertical if and only if they are not congruent. If two angles are congruent, then they are vertical angles If two angles are congruent, then they are vertical angles If two angles are not vertical angles, then they are not congruent
If two angles are vertical angles, then they are congruent.
What is the converse of the following conditional statement. Determine the truth value of the converse. If it is false, then provide a counter example. If x < 30, then x < 40 (1 point) Responses If x is not < 30, then x is not <40. If x is not < 30, then x is not <40. If x is not < 30, then x is not <40. Counterexample : x = 31 If x is not < 30, then x is not <40. Counterexample : x = 31 If x < 40, then x < 30. False Counterexample: x = 37 If x < 40, then x < 30. False Counterexample: x = 37 If x < 40, then x < 30. True
The converse of the conditional statement "If x < 30, then x < 40" is "If x < 40, then x < 30."
The truth value of the converse is false.
Counterexample:
Let x = 37.
If x < 40, then x < 30 would mean that 37 < 40 and 37 < 30, which is not true.
Therefore, the converse is false.
Match the property that justifies each statement.(7 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. If 5q = -55, then q = -11 If 6k=36, then 6k-1 = 36-1 8p = 8p If x = -5, then 2x = -10 If 4x = y, then y = 4x If 5w - 1 = 11, then 5w = 12 If 3m+n=7 and n=4, then 3m+4=7
use the following to match them with:
Reflexive Property
Division Property
Symmetric Property
Substitution Property
Addition Property
Subtraction Property
Multiplication Property
If 5q = -55, then q = -11
Subtraction Property
If 6k=36, then 6k-1 = 36-1
Substitution Property
8p = 8p
Reflexive Property
If x = -5, then 2x = -10
Multiplication Property
If 4x = y, then y = 4x
Symmetric Property
If 5w - 1 = 11, then 5w = 12
Addition Property
If 3m+n=7 and n=4, then 3m+4=7
Substitution Property
please use division property and use no repeats
If 5q = -55, then q = -11
Division Property
If 6k = 36, then (6k - 1) = (36 - 1)
Substitution Property
8p = 8p
Reflexive Property
If x = -5, then 2x = -10
Multiplication Property
If 4x = y, then y = 4x
Symmetric Property
If 5w - 1 = 11, then (5w/5) = (12/5)
Division Property
If 3m + n = 7 and n = 4, then (3m + 4) = 7
Substitution Property