Question

For each question, use the following statements to write the compound statement anddetermine its truth value.P: Perpendicular lines intersect to form right angles.Q: All eagles are bald eagles.R: The capital of Texas is Houston.S: Congruent segments have equal length.Write the compound statement and determine its truth value: Q^SAll eagles are bald eagles or congruent segments have equal length; falseAll eagles are bald eagles and congruent segments have equal length; trueAll eagles are bald eagles or congruent segments have equal length; trueAll eagles are bald eagles and congruent segments have equal length; false

Answer 1

"All eagles are bald eagles and congruent segments have equal length; false"

Step-by-step explanation:

Given the statements;

Q: All eagles are bald eagles.

S: Congruent segments have equal length.

The statement Q is not true, All eagles are not bald.

Young eagles are not bald.

For statement S, Congruent segments have equal length

Statement S is true.

Q^S means statement Q and S.

Which gives;

"All eagles are bald eagles and Congruent segments have equal length."

And since one of the statement is false (Q is false), and it is a "and" joint. It means the compound statement is False.

Therefore, the correct answer is;

"All eagles are bald eagles and congruent segments have equal length; false"