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Alik [6]
3 years ago
6

Which statement is the Law of Detachment?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0

if p-q is a true statement and p is true ,then q is true

lawyer [7]3 years ago
7 0

Answer:  The correct option is

(D) If p→q is a true statement and p is true, then q is true.

Step-by-step explanation:  We are given to select the statement that describes the "Law of Detachment".

We know that "Law of detachment" states that

If a conditional statement is true and its hypothesis is also true, then its conclusion is also TRUE.

For the conditional statement is p → q, the hypothesis is p and conclusion is q.

Therefore, the law of detachment says

"If p→q is a true statement and p is true, then q is true."

Thus, (D) is CORRECT.

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Mrs. Smith's class is working on a variety of science experiments. Each
SVETLANKA909090 [29]

Answer:

66

Step-by-step explanation:

If there are  <em>n</em>  students, then the number of pairs is \frac{n(n-1)}{2}.

With 12 students, \frac{12(12-1)}{2} = \frac{132}{2}=66 pairs can be formed.

The reason the formula works is this:  Each of the 12 students can be paired with 11 other students (no student is paired with him/her self).  But counting 12 x 11 = 132  counts each pair <u>twice</u>.  Example: student A can be paired with student B,..., student B can be paired with student A.  The pair was counted two times.

See the attached image that shows pairings of 5 students.  There are

5(5 - 1)/2 = 5(4)/2 = 10 pairs.

8 0
2 years ago
R: 7x - 2y = 14<br> each line<br> Slope
Llana [10]

Answer:

m=7/2

Step-by-step explanation:

7x-2y=14

2y=7x-14

y=7/2x-14/2

y=7/2x-7

y=mx+b where m=slope and b=y-intercept,

the slope is 7/2

7 0
3 years ago
I am in need of help
kvv77 [185]
CAD= BAD
AD=AD( the same side of two angles).
8 0
2 years ago
A bag of balloons contains 4 red balloons, 12 green balloons, 14 yellow balloons, and 7 orange balloons. What is the probability
Ostrovityanka [42]
There are 37 balloons total and there are 7 orange balloons. Therefore, the probability is 7/37.
5 0
2 years ago
Which expression is a factor of 4ab + 4a − 3b − 3?
e-lub [12.9K]
<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)

(b+1) and (4a - 3) are factors 

answer
</span><span>4a − 3</span>
7 0
2 years ago
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