The points W, X, Y and Z all lie on the same line segment, in that order, such that the ratio of WX : XY :...

Question

The points W, X, Y and Z all lie on the same line segment, in that order, such that the ratio of WX : XY : YZ is equal to 5 : 2 : 5. If WZ = 36, find XZ.

SnapAndSolve AI · Accepted Answer

Let WX = 5k, XY = 2k, and YZ = 5k. The total length WZ = WX + XY + YZ = 5k + 2k + 5k = 12k. Given WZ = 36, we have 12k = 36. Solving for k gives k = 3.

Now, XZ = XY + YZ = 2k + 5k = 7k. Substituting k = 3, we get XZ = 7 * 3 = 21.

XZ = 21

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The points W, X, Y and Z all lie on the same line segment, in that order, such that the ratio of WX : XY :...

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