MATHEMATICS Proportion Х Y Z 145) If line XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ? A) 12 in B) 24in C) 48in D) 72 in 147) If line YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY? A) 3ft B) 6ft C) 9ft D) 12ft 148) If line YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY? A) 3in B) 27in C) 2ft D) 18in

  145. YZ = 48 in

  147. XY = 6 ft

  148: XY = 3 in

Step-by-step explanation:

In each case, multiply the given proportion by a value that makes it match the given information about the segments.

XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ?

Multiply the proportion by 24 in:

  XY : YZ = (24 in)(1) : (24 in)(2) = 24 in : 48 in

  YZ = 48 in . . . (C)

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YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY?

Multiply the proportion by 3 ft:

  XY : YZ = (3 ft)(2) : (3 ft)(3) = 6 ft : 9 ft

  XY = 6 ft . . . (B)

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YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY?

Multiply the proportion by 3 in:

  XY : YZ = (3 in)(1) : (3 in)(4) = 3 in : 12 in = 3 in : 1 ft

  XY = 3 in . . . (A)