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gizmo_the_mogwai [7]
3 years ago
12

Jan is constructing an inscribed regular hexagon for the circle shown. Point A will be one vertex of the hexagon. What step shou

ld be completed next?

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

D) set the width of the compass to equal AP

Step-by-step explanation:

  • <em>Regular hexagon has a property that its side is equal to radius.</em>
  • <em> The step which should be taken is to set the length of compass equal to radius which is the distance AP.</em>

Correct answer option is D)

<u>Answer options:</u>

  • A) draw a ray from point P through A
  • B) construct a diameter of the circle
  • C) place a second point on the circle
  • D) set the width of the compass to equal AP

<u />

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Answer:

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Step-by-step explanation:

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