Question

the line below contains X,Y,and Z, in that order. The ratio of the length of XY to the length of YZ is 5:9. If it can be determined, what is the ratio of the length of XY to the length XZ

Answer 1

Answer:

$\dfrac{XY}{XZ} =\dfrac{5}{14}$

Step-by-step explanation:

We are give the following in the question:

$\dfrac{XY}{YZ} = \dfrac{5}{9}$

We have to find the ration of the length of XY to the length XZ.

This, can be done as:

$\dfrac{XY}{XZ} = \dfrac{XY}{XY+YZ}\\\\\Rightarrow \dfrac{XZ}{XY} = \dfrac{XY+YZ}{XY} = 1 + \dfrac{YZ}{XY}\\\\\Rightarrow \dfrac{XZ}{XY} = 1+\dfrac{9}{5} = \dfrac{14}{5}\\\\\Rightarrow \dfrac{XY}{XZ} =\dfrac{5}{14}$

Thus, the ration XY:XZ is 5:14