Question

pentagon t is a scaled copy of pentagon s. pentagon s pentagon t what is the value of u?

Explanation:

Step1: Convert mixed - numbers to decimals

$1\frac{4}{5}=1 + \frac{4}{5}=1.8$, $2\frac{7}{10}=2.7$, $1\frac{1}{5}=1+\frac{1}{5}=1.2$

Step2: Find the scale factor

The scale factor $k$ from pentagon $S$ to pentagon $T$ is found by dividing the length of a corresponding side in $T$ by the length of the corresponding side in $S$. Using the non - $u$ related sides, $k=\frac{2.7}{1.8}=1.5$

Step3: Calculate the value of $u$

Since the sides of similar figures are in proportion, and the corresponding side to $u$ in pentagon $S$ has length $1.2$. Then $u = 1.2\times1.5=1.8$

Answer:

$1.8$