Answer:
20 miles < The distance between the cities < 200 miles
Step-by-step explanation:
The given information on the sign = "Wichita 90 mi, Topeka 10 mi"
Given that the two cites are not colinear, we have;
The number of points specified in the figure = 3 points
The specified points are;
1) The location of the family
2) The location of Wichita, relative to the family's location, = 90 mi
3) The location of Topeka, relative to the family's location, = 110 mi
Therefore, given that the three points are not colinear, they form the vertices of a triangle
The legs of the triangle are 90 mi and 110 mi
The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles
The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles
Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.
Which gives;
20 miles < The distance between the cities < 200 miles.
