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The centers of Marathon County, Bayfield County, and Dodge County all lie along a straight road. If Marathon County is equidistant from Bayfield County and Dodge County, what is the distance from Bayfield County to Dodge County if the distance from Marathon County to Dodge County is 487 miles?

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mathstudent55

Answer:

The distance from Bayfield County to Dodge County is 974 miles.

Step-by-step explanation:

Definition of equidistant: equal distance.

Bayfield                                            Marathon                                        Dodge

       +---------------------------------------------+---------------------------------------------+

                            487 miles                                         487 miles

The three centers of the counties lie along a straight line. Since Marathon County is equidistant from Bayfield County and Dodge County, then Marathon County is exactly at the midpoint of the segment from Bayfield County to Dodge County. The distances from Bayfield County to Dodge County and from Marathon County to Dodge County are equal. The distance from Bayfield County to Dodge County is

distance = 487 miles + 487 miles = 974 miles


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