Answer:
A
Step-by-step explanation:
You find area of rectangle or square and divide it by 2
Answer:
175 boxes
Step-by-step explanation:
There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.
1,908 / 12 = 159 boxes
Since there are 25 boxes per carton we divide 159 by 25
159 / 25 = 6.36
Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of
7 * 25 = 175 boxes
Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.
Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
∼ P ⇔ Q ≡ (P ⇒∼ Q)∧(∼ Q ⇒ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼ P ∼Q ∼ P⇔ Q P ⇒∼ Q ∼ Q ⇒ P (P ⇒∼ Q)∧(∼ Q ⇒ P)
T T F F F F T F
T F F T T T T T
F T T F T T T T
F F T T F T F F
Since the corresponding truth vales for ∼ P ⇔ Q and (P ⇒∼ Q)∧(∼ Q ⇒ P) are same, so the given propositions are logically equivalent.
Thus, ∼ P ⇔ Q ≡ (P ⇒∼ Q)∧(∼ Q ⇒ P).
9514 1404 393
Answer:
- segment SR
- Given
- segment PR
- SSS postulate
Step-by-step explanation:
1. The only "Given" statement involving QR is ...
QR ≅ SR
2. You will notice that PQ ≅ PS is a Given statement.
3. The reflexive property says a segment is congruent to itself:
PR ≅ PR
4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.
