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neonofarm [45]
3 years ago
15

If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.

It is enough to show that all three pairs of corresponding sides are in the same ratio. It is not enough to have information about only sides or only angles. It is enough to show that two pairs of corresponding angles are congruent. It is enough to show that two pairs of corresponding sides are in the same ratio. It is enough to show that one pair of corresponding angles is congruent.
Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

Answer:

it is enough to that all three pairs of corresponding sides are in the same ratio,  it is enough to show that they are congruent.

Step-by-step explanation:

Gekata [30.6K]3 years ago
8 0

Answer: It is enough to show that all three pairs of corresponding sides are in the same ratio, and It is enough to show that one pair of corresponding angles is congruent.

Step-by-step explanation:

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g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
3 years ago
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Aneli [31]
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5 0
3 years ago
If f(x) = V7x + 31 , find f(0).
Arte-miy333 [17]

Answer:

f(0) = 31

Step-by-step explanation:

We are given the following function:

f(x) = \sqrt{7x} + 31

f(0).

This is the value of f when x = 0. So

f(0) = \sqrt{7*0} + 31 = \sqrt{0} + 31 = 0 + 31 = 31

So f(0) = 31

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4 0
2 years ago
10x + .0085x = 280000
GaryK [48]

Answer:

x = 27976.22021

Step-by-step explanation:

10x + .0085x = 280000

Combine like terms

10.0085x = 280000

Divide by 10.0085 on each side

10.0085x /10.0085= 280000/10.0085

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6 0
3 years ago
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