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Sedbober [7]
3 years ago
11

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o

f each. If a statements truth value is false, give a counterexample
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









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Answer:

y + 5 = 0(x + 1)

y + 5 = 0

y = -5

standard form

0x + y = -5

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In a survey of 400 randomly selected​ people, it was determined that 22 play soccer. What is the probability that a randomly sel
insens350 [35]

Answer:

5.5% probability that a randomly selected person plays​ soccer

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A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

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Total outcomes:

Total people surveyed, so P = 400

What is the probability that a randomly selected person plays​ soccer?

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Add 15 to x to find y
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Answer:

If you have to find y you would get rid of the x. so if the x is alone then you do the opposite of the equation to get y by it's self and when you do you have what y equals to

Step-by-step explanation:

3 0
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A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
CaHeK987 [17]
Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 / <span> <span> <span> 2.3094 </span> </span> </span>
Area of the Base = <span> <span> <span> 41.5692387633 </span> </span> </span>

Area of 1 Face = 2 * 6 = 12
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6 0
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NO LINKS!! Part 2<br><br>Similarity Flow Chart Proofs​
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Answer:

  • See below

Step-by-step explanation:

<h3>#4</h3>

According to diagram we have

  • QR ≅ QT
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  • QSR ≅ QST (both right angles)

Considering above we can state

  • QSR ≅ QST by HL (hypotenuse-leg)
<h3>#5</h3>

Two angles are congruent but the order of angles is not same

Triangles are not similar.

<h3>#6</h3>

Two angles and a side are congruent but the order of angles is not same.

Triangles are not similar.

4 0
2 years ago
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