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Elina [12.6K]
3 years ago
15

Rephrase in contrapositive form:

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

The rule for Contrapositive is: Negative both statements and interchange them. \sim q \rightarrow \sim p

Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.

Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".

It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".

Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.

Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"

The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.

Remember negative means opposite.

Contrapositive: If xy < 0 then x<0 and y<0.

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Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)
Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

5 0
3 years ago
Which list orders –3, 2, 5, –1 from least to greatest?
Allushta [10]

Answer:

so all the - 3's, all the -1's then all the 2's 3's then the 5's fro the greatets

Step-by-step explanation:

7 0
3 years ago
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It’s geometry I have a triangle left side is just a c right side is 80cm and the bottom is 18cm but there’s a right angle in the
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Answer:

i think its 10cm

Step-by-step explanation: brainlyest plz :)

90+80=170

180-170=10

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The cost of renting a car is $42 a day plus 25 cents per mile. How far can Alex drive in one day if he only has $162
earnstyle [38]

Answer:

Alex can drive 480miles in one day period.

Step-by-step explanation:

$162- $42 =$120

$120/0.25¢=480

480miles

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3 years ago
29. 83 – 2 · 4 = <br> 30. 3 · 6 – 4 · 2 = <br> 31. 3( 6 – 4) · 2 =
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1) 21.83

2)173.8

3)12

Hope this helps :)

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