Answer:
x=40.375
Step-by-step explanation:
Since HYV and AYB are similar, we know that the sides in each of the triangles with have the same ratio to each of their corresponding sides.
For example, YV/YB=YH/YA.
Now we have to find the ratio of the sides which can be done using the lengths of segments YB and YV. YB=16 YV=16+22=38 38/16=2.375
2.375 is our ratio.
Next we are going to find the length of YH so we can determine x.
YA=17 YH=17*2.375=40.375
The length of side YH=40.375 which is equal to x.
