A conditional statement is any statement in the "If..., then..." form. The converse switches the hypothesis and the conclusion. It's easiest to demonstrate this in an example:
Our statement will be "If an animal is a dog, then it has four legs." Now to switch the hypothesis and conclusion, we take the "an animal is a dog" part, and switch it with the "it has four legs" part". I will change the wording slightly so the sentence still makes grammatical sense: "If an animal has four legs, then it is a dog".
Now the final statement from the previous example serves as the perfect false conditional statement with a true converse:
Statement: "If an animal has four legs, then it is a dog", clearly false.
Converse: "If an animal is a dog, then it has four legs", a true statement.
Answer:
27, 26
Step-by-step explanation:
27^2 -26^2 = 729 -676 = 53
If the numbers are integers, they must differ by an odd number. For some odd number k, we will have ...
(x +k)^2 -x^2 = 53
2xk +k^2 = 53
x = (53 -k^2)/(2k)
x = 53/(2k) -k/2
The second term is an odd multiple of 1/2. The first term will be an odd multiple of 1/2 only for k=1. For k = 1, we have ...
x = (53 -1)/2 = 26
The two numbers are 26 and 27.
Pyramids were important because they once housed the ancient Pharaohs and Queens. Hope this helped!
-Twix
