OG详解-OG6 数学2 Q9

Choice A is correct. It’s given that the ratio of the length of line segment XY to the length of line segment ZV is 6 to 1, which means XYZY​​ =6​1​ . It’s given that the length of line segment XY is 102 inches. If the length, in inches, of line segment ZV is represented by l, the value of l, can be calculated by solving the equation 102l​​ = 6​1​ , or  102​l​​ = 6. Multiplying each side of this equation by , yields 102 = 6l. Dividing each side of this equation by 6 yields 17 = l. Therefore, the length of line segment ZV is 17 inches.
Choice B is incorrect. This is the length, in inches, of line segment ZV if the length of line segment XY is 576, not 102, 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.