The ratio of the length of line segment X Y to the length of line segment Z V is 6

Question

The ratio of the length of line segment X Y to the length of line segment Z V is 6 to 1 . If the length of line segment X Y is 102 inches, what is the length, in inches, of line segment Z V ?

Accepted Answer

Choice A is correct. It&rsquo;s given that the ratio of the length of line segment X Y to the length of line segment Z V is 6 to 1 , which means X Y Z V = 6 1 . It&rsquo;s given that the length of line segment X Y is 102 inches. If the length, in inches, of line segment Z V is represented by l , the value of l can be calculated by solving the equation 102 l = 6 1 , or 102 l = 6 . Multiplying each side of this equation by l yields 102 = 6 l . Dividing each side of this equation by 6 yields 17 = l . Therefore, the length of line segment Z V is 17 inches. Choice B is incorrect. This is the length, in inches, of line segment Z V if the length of line segment X Y is 576 , not 102 , inches. Choice C is incorrect. This is the length, in inches, of line segment X Y , not line segment Z V . Choice D is incorrect. This is the length, in inches, of line segment Z V if the ratio of the length of line segment X Y to the length of line segment Z V is 1 to 6 , not 6 to 1 .

Question 688b46