Be quick
find x
find yz
find xz

x    = 3

YZ = 5

XZ = 10

Step-by-step explanation:

From the figure, the distance between XY = YZ.

In other words, Y is the mid-point of the line segment XZ.

We are given XY = 2x - 1.

Also, XZ = 2(3x - 4) = 6x - 8

Since, XY + YZ = XZ

⇒ 2x - 1 + YZ = 6x - 8

⇒ YZ = 6x - 8 - 2x + 1

⇒ YZ = 4x - 7

Also, since XY = YZ we have:

2x - 1 = 4x - 7

Solving this we arrive at the value of 'x'.

⇒ 2x = 6

⇒ x = 3

Substituting the value of x in YZ we get, YZ = 4(3) - 7

= 12 - 7 = 5

∴ YZ = 5

Similarly, XZ = 6(3) - 8 = 18 - 8 = 10

∴ XZ = 10

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step-by-step explanation: