Question
x-3 8 16
2.5 2 4
The Polygons are similar, but not necessarily drawn to scale. Find the value of x.
2.5 2 4
The Polygons are similar, but not necessarily drawn to scale. Find the value of x.
Answers
GPT 3.5
In similar polygons, corresponding sides are proportional. Therefore, we can set up the proportion:
$\frac{2.5}{x-3} = \frac{2}{8} = \frac{4}{16}$
Cross-multiplying gives $2.5 \cdot 8 = 2 \cdot (x-3)$ or $20 = 2 \cdot (x-3)$. Simplifying gives $20 = 2x - 6$, so $2x = 26$ and $x = \boxed{13}$.
$\frac{2.5}{x-3} = \frac{2}{8} = \frac{4}{16}$
Cross-multiplying gives $2.5 \cdot 8 = 2 \cdot (x-3)$ or $20 = 2 \cdot (x-3)$. Simplifying gives $20 = 2x - 6$, so $2x = 26$ and $x = \boxed{13}$.