Answer:
Since the points X , Y and Z are collinear:
For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y
Since we are given that XY = YZ,
We will replace with the provided values:
XY = YZ
<em>4(x + 5) = 2(x + 11)</em>
<em>4x + 20 = 2x + 22</em>
<em>2x = 2</em>
x = 1
Since x = 1 and XY = YZ,
We can say that:
XZ = XY + YZ
XZ = XY + XY or XZ = 2XY
Now, replacing the variables for the value of XZ
XZ = 2XY
XZ = 2(4x + 20)
XZ = 2(4 + 20) (Since x = 1)
XZ = 48 units