Respuesta :

EXPLANATION

We can apply the Triangle Similarity Theorem in order to get the value of x as shown as follows:

[tex]\frac{\text{Hypotenuse}_{\text{outer}}}{\text{Hypotenuse\_inner}}=\frac{\text{adjacent outer}}{\text{adjacent inner}}[/tex]

Replacing terms:

[tex]\frac{27}{12}=\frac{12}{x}[/tex]

Reversing the fractions:

[tex]\frac{12}{27}=\frac{x}{12}[/tex]

Multiplying both sides by 12:

[tex]\frac{12\cdot12}{27}=x[/tex]

Multiplying numbers and simplifying:

[tex]\frac{16}{3}=x[/tex]

The answer is the option D: 16/3

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