Question

The polygons are similar but not necessarily drown to scale. What is the value of x?

Answer 1

Answer: 38

Step-by-step explanation:

Since the polygons are similar, the corresponding sides are all in the same proportions.

x-2/4.5 = 16/2 = 48/6

Solving for x

$\frac{x-2}{4.5}=\frac{48}{6}$

$\frac{x-2}{4.5}=8$

$\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5$

$x-2=36$

$x-2+2=36+2$

$x=38$

Therefore, the value of x is 38