Answer:
5 centimeters.
Explanation:
Given the two similar triangles, the ratio of the corresponding sides are:
[tex]\frac{18}{6}=\frac{15}{x}=\frac{30}{10}[/tex]
Next, solve for x:
[tex]\begin{gathered} \frac{18}{6}=\frac{15}{x} \\ 3=\frac{15}{x} \\ \text{Cross multiply} \\ 3x=15 \\ x=\frac{15}{3} \\ x=5\operatorname{cm} \end{gathered}[/tex]
The missing length, x, is 5 centimetres.
