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12. critique reasoning kirstens house is located at a point on the map …

Question

  1. critique reasoning kirstens house is located at a point on the map that is 7 miles west and 2 miles south of the center of town. she drives to a movie theater, which is 5 miles east and 3 miles north of the center of town. if the image represents the road she drove, how far did she travel?

Explanation:

Step1: Calculate east - west distance

The house is 7 miles west and the theater is 5 miles east of the center of town. The east - west distance traveled is \(7 + 5=12\) miles.

Step2: Calculate north - south distance

The house is 2 miles south and the theater is 3 miles north of the center of town. The north - south distance traveled is \(2+3 = 5\) miles.

Step3: Calculate total distance

The total distance she drove is the sum of the east - west and north - south distances. So, the total distance \(d=12 + 5=17\) miles.

Answer:

17 miles