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irga5000 [103]
2 years ago
8

Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. H

ow long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi
Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

The length of the road that connects the service station with Cray is 46.2 mi.

<h3> How long will the new road be?</h3>

We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.

Hence;

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

Road connecting the service station with Cray =x

And;

120/130 = x/50

x =  46.2 mi

Learn more about similar triangles:brainly.com/question/12100952

#SPJ1

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