Answer:
The value of x is 1.6
Step-by-step explanation:
We have been given that triangle CDF ∼ triangle MKP.
Therefore, the ratio of the corresponding sides are equal.
Hence, we have
[tex]\frac{DC}{MK}=\frac{CF}{MP}[/tex]
Plugging the known values, we get
[tex]\frac{9}{1.8}=\frac{8}{0.x}[/tex]
Cross multiplying, we get
[tex]9x=8\times1.8[/tex]
Divide both sides by 9
[tex]x=\frac{8\times1.8}{9}[/tex]
Simplifying, we get
[tex]x=8\times10.2\\\\x=1.6[/tex]
The value of x is 1.6
