anonymous
  • anonymous
The distance from Jacksonville to Tampa is 171 miles. The distance from Tampa to Miami is 206 miles. Use the Triangle Inequality Theorem to find the range for the distance from Jacksonville to Miami. PLEASE HELP!!! A.35 mi < d < 377 mi B.0 mi < d < 377 mi C.-35 mi < d < 377 mi D.0 mi < d < 35 mi
Mathematics
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anonymous
  • anonymous
The distance from Jacksonville to Tampa is 171 miles. The distance from Tampa to Miami is 206 miles. Use the Triangle Inequality Theorem to find the range for the distance from Jacksonville to Miami. PLEASE HELP!!! A.35 mi < d < 377 mi B.0 mi < d < 377 mi C.-35 mi < d < 377 mi D.0 mi < d < 35 mi
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Let's call Jacksonville = J , Tampa = T and Miami = M So distance from J --> T = 171 miles and distance from T-->M = 206 miles now we have the following form: J --> T = 171 miles T--> M = 206 miles now let's subtract both equations: T--> M = 206 miles - J -->T = 171 miles ___________________________ (answer) J-->M = 206 - 171 = 35 miles When you subtract both forms, the T(s) will cancel and become 0 , so you'll be left with J--M , which is the distance from Jacksonville to Miami = 35 miles that's the smallest distance, which is the smallest range since we have subtracted, now to find the biggest distance add and you'll get 377 miles :) Did you understand it? ^_^ Answer = (A) :) Correct me if I'm wrong.
radar
  • radar
The triangular inequality rule states "The sum of any two sides always exceed the length of the third side.
radar
  • radar
Answer A seems likely, it seems to pin it down close than choice B

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