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The townships of Addington and Bordenview are 65 miles apart, and Clea
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25 Feb 2019, 01:47
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Question Stats:
66% (01:33) correct 34% (01:52) wrong based on 59 sessions
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The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
Re: The townships of Addington and Bordenview are 65 miles apart, and Clea
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25 Feb 2019, 08:50
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Bunuel wrote:
The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
A. 15 B. 25 C. 35 D. 105 E. 125
Here's a sketch of what the map COULD look like:
So, we are basically trying to find the length of the THIRD SIDE of a triangle.
We can apply this rule: If two sides of a triangle have lengths A and B, then . . . DIFFERENCE between A and B < length of third side < SUM of A and B
We get: 65 - 40 < length of side AC < 65 + 40 Simplify to get: 25 < length of side AC < 105
Check the answer choices.... Only answer choice C is BETWEEN 25 and 105
Re: The townships of Addington and Bordenview are 65 miles apart, and Clea
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26 Feb 2019, 00:49
Bunuel wrote:
The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
A. 15 B. 25 C. 35 D. 105 E. 125
abc all lie not on straight line so they are all present likewise triangular points so 65+40= 105 and 65-40 ; 25 A to C will be between 105 to 25 only value 35 IMO C
Re: The townships of Addington and Bordenview are 65 miles apart, and Clea
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27 Feb 2019, 10:16
Bunuel wrote:
The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
A. 15 B. 25 C. 35 D. 105 E. 125
We notice that since the three towns do not lie on a straight line, they form a triangle, with two sides of lengths 40 and 65 miles.
By the triangle inequality, the distance between Addington and Clearwater is no more than 65 + 40 = 105 miles and no less than 65 - 40 = 25 miles. The only choice that fits these criteria is C.
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66% (01:33) correct 
