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Harrizon [31]
3 years ago
6

I need help with truth tables

Mathematics
1 answer:
ohaa [14]3 years ago
7 0
Part A

The conditional is "if the angles are vertical, then the angles are congruent"

The inverse is "If the angles are not vertical, then the angles are not congruent"

The converse is "If the angles are congruent, then the angles are vertical"

The contrapositive is "If the angles are not congruent, then the angles are not vertical"

=======================================

Part B

If the original conditional is true, then the contrapositive is also true. This is because the original conditional and contrapositive have the same identical truth tables (see attached). Similarly, the inverse and converse have identical truth tables (again see attached).

Alternatively, you can think of the original conditional P --> Q as ~P v Q which flips to Q v ~P and then that turns into ~Q -> ~P showing how P -> Q is the same as ~Q -> ~P, but I'm not sure if you've learned about these algebraic properties yet. Its probably best to stick to the truth tables. 

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kari74 [83]

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7:55 am

Step-by-step explanation:

To determine the time needed to leave, add up all of the elapsed time and subtract that from the 8:50 departure time. The 10 minutes from walking to the platform puts us at 8:40 am, 30 minutes to reach the station puts us at 8:10 am, and the extra 15 minutes gives a time of 7:55 am.

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2 years ago
If popsicle were black would there be white?
bija089 [108]
Yes, of course there'd be white
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3 years ago
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In a sale there is 25%off on all prices an TV costs £90 in the sale. How much was it before the sale?
Elina [12.6K]
To work out how much something was before the discount, you have to divide the price (which is £90) by 75 (as this is the percentage that you paid). It's gives you £1.20. Therefore, 1% is £1.20. To find the original cost, which is 100%, you have to multiply it by 100. Multiplying £1.20 by 100 gives you £120. Therefore, the cost of the TV before the 25% reeducation was £120. Hope this helps :)
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4 0
3 years ago
What’s is the result ?
nadezda [96]

Answer:

19

Step-by-step explanation:

• Shoes + Shoes + Shoes = 30

So, 1 Shoes = 10

• Man + Man + Shoes = 20

1 shoes = 10

20 - 10 = 10

2 man = 10

1 man = 10 ÷ 2 = 5

So, 1 man = 5

• x + x + Man = 13

(Idk what is that)

1 man = 5

13 - 5 = 8

2 x = 8

1 x = 8 ÷ 2 = 4

So, 1 x = 4

(Im seriously. Idk what is that (x))

We can conclude from that picture :

• Shoes + Shoes + Shoes

= 10 + 10 + 10

= 30

• Man + Man + Shoes

= 5 + 5 + 10

= 20

• x + x + Man

= 4 + 4 + 5

= 13

So, what if Shoes + Man + x = ...?

Shoes + Man + x

= 10 + 5 + 4

= <u>1</u><u>9</u>

So, the answer is 19

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

3 0
3 years ago
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