Respuesta :

calculista

we know that

the two triangles in the figure are similar, because they have three equal angles

therefore

The ratio of the corresponding sides are equal

[tex]\frac{x}{8}= \frac{18}{48} \\ \\x=(8*18)/48 \\ \\x=3\ units[/tex]

therefore

the answer is the option C

[tex]3[/tex]

boffeemadrid

Answer:

(C) x=3

Step-by-step explanation:

From the figure, it can be seen that all the three angles of the triangles are equal therefore both the triangles are similar, hence using the similarity condition, we get:

[tex]\frac{18}{x}=\frac{48}{8}[/tex]

On cross multiplying, we get

[tex]x=\frac{18{\times}8}{48}[/tex]

[tex]x=\frac{18}{6}[/tex]

[tex]x=3[/tex]

Hence, the value of x is 3.

Therefore, the option C is correct.

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