Answer:
The length of RT is 3.6 units.
Step-by-step explanation:
In the image attached, you can observe a representation of the problem.
Notice that we have two parallel lines with two transversal. That means we can use the proportionality theorem to create the following expression
[tex]\frac{PQ}{QS} =\frac{PR}{RT}[/tex]
Where [tex]PQ=10[/tex], [tex]QS=4[/tex] and [tex]PR=9[/tex].
Replacing all values, and solving for the unknown quantity, we have
[tex]\frac{10}{4}=\frac{9}{x} \\10x=36\\x=\frac{36}{10}\\ x=3.6[/tex]
[tex]\therefore RT=3.6[/tex]
Therefore, the length of RT is 3.6 units.
