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15) A, B, C, D, E and F are towns situated as follows. * A is 30 km east of D * C is 20 km east of E * F is 10 km west of B * D is 10 km south of F * A is 10 km north of C How far would you need to travel to get from B to E?​

15 A B C D E And F Are Towns Situated As Follows A Is 30 Km East Of D C Is 20 Km East Of E F Is 10 Km West Of B D Is 10 Km South Of F A Is 10 Km North Of C How class=

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Answer:

Option D: 20km South

Step-by-step explanation:

Lets say A = (0, 0)

  • Finding B:

A is 30km East of D which makes D = (-30, 0)

D is 10km South of F which makes F = (-30, 10)

F is 10km West of B which makes B = (-20, 10)

  • Finding E:

A is 10km North of C which makes C = (0, -10)

C is 20km East of E which makes E = (-20, -10)

  • Finding the answer:

Find distance from B = (-20, 10) to E = (-20, -10)

     1. Cancel equivalent values:

x of B = (-20) and x of E = (-20)

Remove x from equation.

     2. Solve for answer:

B = 10 and E = (-10)

Find the difference: (-10) - 10 = (-20)

Conclusion:

South translates to negative on a graph making the answer 20km South

Hope this helped :)

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