Answered

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the rest of the question say what is the length of the tangent line labeled X

The Rest Of The Question Say What Is The Length Of The Tangent Line Labeled X class=

Sagot :

To solve this problem, consider the following picture

By the tangent secant segment theorem we have the following equation

[tex]a^2=b\cdot(b+c)[/tex]

Note that in our case, we have a=x, b=3 and c=9. So if we replace this values in the equation, we have

[tex]x^2=3\cdot(3+9)=3\cdot12=36[/tex]

so, applying the square root on both sides, we get

[tex]x=\sqrt[]{36}=\pm6[/tex]

Since x is a distance, it should be strictly positive, so we have that

[tex]x=6[/tex]

View image CadariusH423868
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