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3 years ago

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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Can you prove that the quadrilateral is a parallelogram based on the information? Support your response with an explanation. (4

kompoz [17]

A: yes, because the opposite sides are congruent and parallel, it is a parallelogram.

b: yes, because the diagonals bisect each other, it is a parallelogram.

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3 years ago

What is the first step in solving 5 + = 3?

storchak [24]

Answer:

c subtract 5 from both sides

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1 year ago

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi

Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

$Occupied\ Seats = \frac{5}{9} * 270$

$Occupied\ Seats = \frac{1350}{9}$

$Occupied\ Seats = 150$

Next is to determine the number of seats occupied by concessionary ticket holders.

$Number = 40\%\ of\ occupied\ seats$

$Number = 40\%\ of\ 150$

Convert percentage to decimal

$Number = 0.4 * 150$

$Number = 60$

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0

2 years ago

Solve the equation.<br> -6p=48

malfutka [58]

Answer:

p=-8

Step-by-step explanation:

A negative multiplied by a negative is a positive.

3 0

3 years ago

To solve the equation X - 62 = 123, you would ?

Ratling [72]

X-62=123
+62 +62
_________
x=185
you need to add a positive 62 from each side so -62+62=0 and 123+62=185
therefore, x=185
:Done! hope this helps!

6 0

3 years ago