PLEASE I REALLY NEED HELP WITH THIS!
use the statements to write a conditional statement and it’s converse. Then write the truth value of both statements.
1. P: two angles are supplementary
Q: they sum to 180 degree
Conditional:
Truth value:
Converse:
Truth value:

2. Write the following biconditional as a conditional and it’s converse. Then determine whether the true value.
X^2=36 if and only if x=6
Conditional:
Truth value:
Converse:
Truth value:

Respuesta :

Answer:

See answers below

Step-by-step explanation:

Problem 1)

Conditional: If two angles are supplementary, then their sum is 180 degrees

Truth value: True

Converse: If the sum of two angles is 180 degrees then the two angles are supplementary.

Truth value:  True

Problem 2)

Conditional: If [tex]x^2=36[/tex] then [tex]x=6[/tex]

Truth value: False

Converse: If [tex]x=6[/tex] then  [tex]x^2=36[/tex]

Truth value: True

For the False, notice that having [tex]x^2=36[/tex], doesn't necessarily imply that [tex]x=6[/tex], since [tex]x=-6[/tex] would also render 36 when squared.