The polygons below are similar, find the value of x.

Answer:
x = 7
Step-by-step explanation:
Since, both the polygons are similar, therefore their corresponding sides would be in proportion.
[tex] \therefore \: \frac{30}{4 + 3x} = \frac{36}{30} \\ \\ \therefore \: \frac{30}{4 + 3x} = \frac{6}{5} \\ \\ 6(4 + 3x) = 30 \times 5 \\ \\ 24 + 18x = 150 \\ \\ 18x = 150 - 24 \\ \\ 18x = 126 \\ \\ x = \frac{126}{18} \\ \\ x = 7[/tex]