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

Answer 1

If two angles are vertical angles, then they are congruent.

Answer 2

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

Answer 3

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.

Answer 4

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

Answer 5

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

Answer 6

please use division property and use no repeats

Answer 7

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

Answer 8

Which symbolic notation represents the contrapositive of a conditional statement?(1 point) Responses p→ q pright arrow q ~q→ ~p ~qright arrow ~p ~p→ ~q ~pright arrow ~q q→ p

Answer 9

The symbolic notation that represents the contrapositive of a conditional statement is ~q → ~p.

Answer 10

(1 point) m<2 = degrees (Type the number only) Using the picture above, what is the measure of angle 1?(1 point) Responses 27° 27degree 23 ° 23 degree 73 ° 73 degree 17°

Answer 11

I apologize, but I cannot see the picture referred to in your question. Could you please provide more context or describe the picture?

Answer 12

(1 point) m<2 = degrees (Type the number only) what is the measure of angle 1?(1 point) Responses 27° 27degree 23 ° 23 degree 73 ° 73 degree 17°

Answer 13

I'm sorry, but without any visual reference or additional information, I cannot determine the measure of angle 1.

Answer 14

(1 point) m<2 = degrees (Type the number only) Using the picture above, what is the measure of angle 1?(1 point) Responses 27° 27degree 23 ° 23 degree 73 ° 73 degree 17°
Inverse
Biconditional
Converse
Contrapositive

Answer 15

I apologize for any confusion, but I still do not have access to the picture you mentioned. Therefore, I cannot determine the measure of angle 1 or match it with one of the given options. Can you please provide a more explicit description or any relevant information about the picture?