Find the value of w and YZ if Y is between X and Z.
XY = 4w YZ = 6W XZ = 12w - 8

w = 4

YZ = 24

Step-by-step explanation:

Since, Y is a point lying between the points X and Z.

Therefore, relationship between the lengths of the segments will be,

length of segment XZ = length of XY + length of YZ

It's given in the question,

XZ = 12w - 8

YZ = 6w

XY = 4w

By substituting these values in the relation,

12w - 8 = 4w + 6w

12w - 8 = 10w

12w = 10w + 8

12w - 10w = 8

2w = 8

w = 4

Since, YZ = 6w

Therefore, YZ = 24

1 and 2

step-by-step explanation: