Answer:
x = 15 cm
Step-by-step explanation:
All the ratio of corresponding sides should be equal
10 corresponds to x
16 corresponds to 24
12 corresponds to 18
Finding the ratio of the known pairs:
- [tex]\frac{16}{24}=\frac{2}{3}[/tex]
- [tex]\frac{12}{18}=\frac{2}{3}[/tex]
Similarly 10 is to x should be 2 is to 3. Finding x:
[tex]\frac{10}{x}=\frac{2}{3}\\10*3=2x\\30=2x\\x=\frac{30}{2}\\x=15[/tex]
So x = 15.
