2 x + y = 37 In triangle Q R S , sides Q R and R S each have

Question

2 x + y = 37 In triangle Q R S , sides Q R and R S each have a length of x centimeters and side S Q has a length of y centimeters. The given equation represents this situation. Which of the following is the best interpretation of 37 in this context?

Accepted Answer

Choice C is correct. It's given that in triangle Q R S , sides Q R and R S each have a length of x centimeters. Therefore, the expression 2 x represents the sum of the lengths, in centimeters, of sides Q R and R S . It's also given that side S Q has a length of y centimeters. Therefore, the expression 2 x + y represents the sum of the lengths, in centimeters, of sides Q R , R S , and S Q . Since 2 x + y is the sum of the lengths, in centimeters, of the three sides of the triangle and 2 x + y = 37 , it follows that 37 is the sum of the lengths, in centimeters, of the three sides of the triangle. Choice A is incorrect. The difference, in centimeters, between the lengths of sides Q R and S Q is x - y , not 37 . Choice B is incorrect. The difference, in centimeters, between the lengths of sides Q R and R S is x - x , or 0 , not 37 . Choice D is incorrect. The length, in centimeters, of one of the two sides of equal length is x , not 37 .

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