Answered

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Translate the mathematical statement into symbolic form.

Any angle inscribed in a semicircle (i) is a right angle (r).

A. [tex]i \vee r[/tex]
B. [tex]i \wedge r[/tex]
C. [tex]r \leftrightarrow i[/tex]
D. [tex]i \rightarrow r[/tex]
E. [tex]\sim r[/tex]

Sagot :

GinnyAnswer
To translate the given mathematical statement into symbolic form, let us break down the statement and identify the terms and their relationships.

The statement: "Any angle inscribed in a semicircle (i) is a right angle (r)."

Here, "angle inscribed in a semicircle" will be represented by [tex]\( i \)[/tex].
"Right angle" will be represented by [tex]\( r \)[/tex].

The statement explicitly states that whenever we have an angle inscribed in a semicircle, then it will be a right angle. This implies a direct conditional relationship from [tex]\( i \)[/tex] to [tex]\( r \)[/tex].

To express this conditional relationship, we use the logical implication symbol [tex]\( \rightarrow \)[/tex]. This symbol indicates that if [tex]\( i \)[/tex] (an angle inscribed in a semicircle) is true, then [tex]\( r \)[/tex] (it is a right angle) is also true.

Thus, the correct symbolic form of the given statement "Any angle inscribed in a semicircle (i) is a right angle (r)" is:
[tex]\[ i \rightarrow r \][/tex]
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