The easiest way to prove equivalence is to draw out a truth table and then compare the values. I'm going to show a truth table using proposition logic, it's the same result as using predicate logic.
P(x) v Q(x)
P |Q || PvQ || ~Q->P <----Notice how this column matches the PvQ but if you were to
---|---||--------||---------- <----continue the truth table with ~P->Q it would not be equivalent
T T T T
T F T T
F T T T
F F F F
Let me know if you would like an example, if the truth table doesn't help.
Answer:
D. 3,461
Step-by-step explanation:
There are 3520 yards in two miles and 3,461 yards is less than 3,520... meaning that he lives closer to the school.
3,461 < 3,520
Obtuse angles are over 90 degrees but less than 180 degrees. So minimum y can be is 10: (5 x 10) + 45 = 95 degrees (which is more than 90). Maximum for y is 26: (5 x 26) + 45 = 175 (which is less than 180 degrees)
Answer:
65
Step-by-step explanation:
I dont know the answer hope this helps
Well, 6 x 9 = 54 which means the answer is 54. Hope this helps :)
