Question

ghijk ~ tuvwx. find uv and gk.
write your answers as decimals or whole numbers.
uv =
gk =

Explanation:

Step1: Find similarity ratio

Corresponding sides: $IH = 3$, $XT = 14$.
Ratio: $\frac{TUVWX}{GHIJK} = \frac{14}{3}$

Step2: Solve for UV (corresponds to IJ)

IJ = 2. UV = $2 \times \frac{14}{3}$
$\text{UV} = \frac{28}{3} \approx 9.3$

Step3: Solve for GK (corresponds to WX)

WX = 21. GK = $21 \div \frac{14}{3} = 21 \times \frac{3}{14}$
$\text{GK} = \frac{63}{14} = 4.5$

Answer:

UV = 9.3
GK = 4.5