B, because the mid segment is half the length of the third side
Answer:
The conclusion "T" logically follows from the premises given and the argument is valid
Step-by-step explanation:
Let us use notations to represent the steps
P: I take a bus
Q: I take the subway
R: I will be late for my appointment
S: I take a taxi
T: I will be broke
The given statement in symbolic form can be written as,
(P V Q) → R
S → (¬R ∧ T)
(¬Q ∧ ¬P) → S
¬R
___________________
∴ T
PROOF:
1. (¬Q ∧ ¬P) → S Premise
2. S → (¬R ∧ T) Premise
3. (¬Q ∧ ¬P) → (¬R ∧ T) (1), (2), Chain Rule
4. ¬(P ∨ Q) → (¬R ∧ T) (3), DeMorgan's law
5. (P ∨ Q) → R Premise
6. ¬R Premise
7. ¬(P ∨ Q) (5), (6), Modus Tollen's rule
8. ¬R ∧ T (4), (7), Modus Ponen's rule
9. T (8), Rule of Conjunction
Therefore the conclusion "T" logically follows from the given premises and the argument is valid.
The answer is D. $14,55.52. I got this answer by using the compound interest formula which would be Y=800(1+.06/12)^12•10. Hope this helps!! :)
Answer: 7/18
Step-by-step explanation:
Number of customers at Eva's boutique = 90
Number of customers who wore a size extra-large = 35
The probability that a randomly selected customer wore a size extra-large will be:
= Number of customers who wore a size extra-large / Number of customers at Eva's boutique
= 35 / 90
= 7/18
Therefore, the probability that a randomly selected customer wore a size extra large is 7/18.

Here's our expression: 
We will follow the order of operations and begin by solving everything in parentheses. 
Next, we solve the exponents. 
Now, we solve the multiplication and division. There is no division, so we will just solve the multiplication. 
Finally, we solve the addition and subtraction. Since there is no addition, we will solve the subtraction. 