Answer:
[tex]\dfrac{XY}{XZ} =\dfrac{5}{14}[/tex]
Step-by-step explanation:
We are give the following in the question:
[tex]\dfrac{XY}{YZ} = \dfrac{5}{9}[/tex]
We have to find the ration of the length of XY to the length XZ.
This, can be done as:
[tex]\dfrac{XY}{XZ} = \dfrac{XY}{XY+YZ}\\\\\Rightarrow \dfrac{XZ}{XY} = \dfrac{XY+YZ}{XY} = 1 + \dfrac{YZ}{XY}\\\\\Rightarrow \dfrac{XZ}{XY} = 1+\dfrac{9}{5} = \dfrac{14}{5}\\\\\Rightarrow \dfrac{XY}{XZ} =\dfrac{5}{14}[/tex]
Thus, the ration XY:XZ is 5:14
