Respuesta :

No, it does not have to be negative: If the original value of x was negative, then –x, the opposite-signed version of x, would have to be positive. For instance, if I start with x = –3, then –x = –(–3) = +3, which is positive. You can use the M widget below to practice simplifying an absolute-value expression.

Answer:  The correct option is

(C) 24.

Step-by-step explanation:  Given that the two parallelograms in the figure are similar.

We are to find the value of x.

The pairs of the lengths of corresponding sides of the two parallelograms are (9, 27) and (8, x).

We know that

the corresponding sides of two similar figures are proportional, so we must have

[tex]\dfrac{9}{27}=\dfrac{8}{x}\\\\\\\Rightarrow \dfrac{1}{3}=\dfrac{8}{x}\\\\ \Rightarrow x=8\times3\\\\\Rightarrow x=24.[/tex]

Thus, the required value of x is 24.

Option (C) is CORRECT.

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