Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
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Answer:
C: Charles
Step-by-step explanation:
165 miles divided by 6 hours
165/2.5
66 miles in one hour
Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠
A
+
∠
C
=
180 o
=
∠
B
+
∠
D
⇒
2
x+
(
3
x
−
5
)
=
180 0
=
(
x
+
5
)
+ ∠ C
5
x − 5 = 180
Add 5 to both sides
5
x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
Hey There!
Answer Coplanar Points
The term to describe a group of points that lie on the same plane are called.
Coplanar Points
If the points were to lie on the same line, the term to describe this would be called.
Collinear point
Hope this helped!
