- ~ XY The ratio^-^-^-^-^-^-^-^- of the length of line segment to the length of line segment ZV is 6 to 1. If the length of XY line segment is 102 inches, what is the length, in ZV inches, of line segment?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. It’s given that the ratio of the length of line segment XY to 6 the length of line segment ZV is 6 to 1, which means XY= 1. It’s given that the 102 ZV length of line segment XY is inches. If the length, in inches, of line , , segment ZV is represented by , the value of can be calculated by solving the 102 = 6 102 =6 , equation , 1, or , . Multiplying each side of this equation by yields 102=6, 17=, . Dividing each side of this equation by 6 yields . Therefore, the 17 length of line segment ZV is inches. Choice B is incorrect. This is the length, in inches, of line segment ZV if the length 576 102 of line segment XY is , not , inches. Choice C is incorrect. This is the length, in inches, of line segment XY, not line segment ZV. Choice D is incorrect. This is the length, in inches, of line segment ZV if the ratio of the length of line segment XY to the length of line segment ZV is 1 to 6, not 6 to 1.
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