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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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15x+12(10-x)=141<br>make sure to use steps to solve!​
goldfiish [28.3K]

Answer: x=7

Step-by-step explanation: First you distribute the 12 to (10-x). That then gives you 15x+120-12x=141. Now you combine like terms. So you do 15x-12x=3x. Your new equation now is 3x+120=141. Subtract 120 from 141 and mark it out. That leaves you with 3x=21. Divide both sides by 3. Your final answer is x=7.

5 0
3 years ago
PLS QUICK I ONLY HAVE 2 HOURS
UNO [17]

Answer:

D

Step-by-step explanation:

As you can observe from the pattern, the numerator gets multiplied by 4 every increase in the sequence.

So , clearly, the 5th term will be = \frac{64*4}{5} =\frac{256}{5}

and the 6th term will be = \frac{256*4}{5} =\frac{1024}{5}

Therefore , D will be the answer.

6 0
2 years ago
Please help!! Xoxo! Appreciate it :)
Degger [83]

Answer:

B   x = sqrt(41)

Step-by-step explanation:

Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.

The base of each smaller right triangle is 4 units long (8/2 = 4).

The vertical leg is 5.

Use the Pythagorean theorem to find x.

a^2 + b^2 = c^2

4^2 + 5^2 = x^2

16 + 25 = x^2

x^2 = 41

x = sqrt(41)

Answer: B   x = sqrt(41)

8 0
2 years ago
Read 2 more answers
A real number between √13 and √14
Liono4ka [1.6K]

Answer:

3.7

Step-by-step explanation:

6 0
3 years ago
HELP PLEASE for brainliest!!
marta [7]
-3 • (5x + 2y = 7)
-15x - 6y = -21
-2x + 6y = 9
__________
-17x = -12
x = 12/17
5(12/17) + 2y = 7
2y = 7 - 60/17
2y = 3.47
y = 1.735
3 0
3 years ago
Read 2 more answers
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