Answer:
46.2 mi is the right answer.
Step-by-step explanation:
In this question we will follow the property of congruence of two triangles.
Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
As we know in the congruent triangles all sides are in the same ratio.
Now we apply the property of the theorem
[tex]\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}[/tex]
[tex]\frac{120}{130}=\frac{x}{50}[/tex]
[tex]x=50\frac{120}{130}[/tex]
x = 46.2 mi
