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djyliett [7]
1 year ago
5

if 7 < 5, then 5 < 3 state the inverse, contrapositive, and converse of each conditional statement. then indicate whether

the inverse, contrapositive, and converse are true.
Mathematics
1 answer:
RUDIKE [14]1 year ago
3 0

The given conditional statement is : If 7<5, then 5<3.

Inverse: If 7≥5 then 5≥3 (The inverse is true)

Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)

Converse: if 5<3 then 7<5 (The converse is true)

From the properties of conditional statement we know that:

if p→q then

  • inverse is : \backsim p \rightarrow \backsim q
  • contrapositive:\backsim q \rightarrow \backsim p
  • Converse:q \rightarrow p

Let us elaborate on the above conditions. Let us take two statement p and q  such that If p happens then q also happens.

  • The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
  • The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.

To learn more about conditional statements:

brainly.com/question/7066208

#SPJ4

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▹ Answer

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6 0
3 years ago
The following set of coordinates most specifically represents which figure? (−5, 6), (−1, 8), (3, 6), (−1, 4) (6 points) Paralle
Vladimir [108]

Answer:

Rhombus

Step-by-step explanation:

The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).

We use the distance formula to find the length of AB.

|AB|=\sqrt{(-1--5)^2+(8-6)^2}

|AB|=\sqrt{16+4}

|AB|=\sqrt{20}

The length of AD is

|AD|=\sqrt{(-1--5)^2+(6-4)^2}

|AD|=\sqrt{16+4}

|AD|=\sqrt{20}

The length of BC is:

|BC|=\sqrt{(-1-3)^2+(8-6)^2}

|BC|=\sqrt{16+4}

|BC|=\sqrt{20}

The length of CD is

|CD|=\sqrt{(-1-3)^2+(6-4)^2}

|CD|=\sqrt{16+4}

|CD|=\sqrt{20}

Since all sides are congruent the quadrilateral could be a rhombus or a square.

Slope of AB=\frac{8-6}{-1--5}=\frac{1}{2}

Slope of BC =\frac{8-6}{-1-3}=-\frac{1}{2}

Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be  a square. It is a rhombus

7 0
3 years ago
Read 2 more answers
From the set {30, 42, 84}, use substitution to determine which value of x makes the equation true.
Maru [420]
2,520/x = 60
x = 42, which means your answer is B.

2,520/42 = 60
8 0
2 years ago
What is the slope of the line that contains the points (-2, 1) and (0, -3)?
spayn [35]

Answer: -2

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

slope = -3 -1 / 0 + 2

slope = -4 / 2

simplify = -2

4 0
3 years ago
Read 2 more answers
the book store had a new bookshelf that could hold 62 books the owner put 5 books on each of the shelves and the rest back in hi
Dominik [7]

Answer:

The number of books in the owner's office are 4.

Step-by-step explanation:

It is given that the book store had a new bookshelf that could hold 62 books the owner put 5 books on each of the shelves and the rest back in his office.

Now, let us assume the there are 'n' number of total books that the owner have with him;

=> total books = n

and the total books the shelf could hold is;

=> total books the shelf could hold = 62

Further, it is provided that the owner put 5 books on each of the shelves and the rest back in his office;

=> n = 62/5

=> n = 12.4

Therefore, the number of books in the owner's office are 4.

<u>To know more about this topic, click here</u>:

brainly.com/question/21298318

#SPJ9

8 0
1 year ago
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