Answer:
![x = 35.6](https://img.qammunity.org/2022/formulas/mathematics/high-school/nu76dkrqvebsvsl8ru8n07dnxjkplkcwnb.png)
Explanation:
It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.
![(KL)/(FE)](https://img.qammunity.org/2022/formulas/mathematics/high-school/3ktuou0qyorazi12zz0hrc2hu0jnpeuewq.png)
![=(55)/(17)](https://img.qammunity.org/2022/formulas/mathematics/high-school/7urqzo2p7dxt6u27bz41bu3qxmf2l8t91l.png)
Now to find a missing side in figure (LKJI) one must multiply its corresponding side by (
) in figure (HGFE) to find the length of the missing side.
![EF * (55)/(17) = JI\\\\11 * (55)/(17) = JI\\\\(605)/(17) = JI](https://img.qammunity.org/2022/formulas/mathematics/high-school/9oixmq0omsnfa1srayctqu44j8o50v24mm.png)
![x = (605)/(17)\\\\x=35.6](https://img.qammunity.org/2022/formulas/mathematics/high-school/3sfvjdh6z52j1vwyjtr3m5shtdv3fnyygy.png)