Answer:
The value of b is 12.5. The length of YZ is 100 units.
Step-by-step explanation:
Given information: XY=6b, YZ=8b, XZ=175 and Y is between X and Z.
It means X,Y, Z are collinear points and point Y divides the line segment XZ is two ports.
Using segment addition property, we get
[tex]XY+YZ=XZ[/tex]
Substitute XY=6b, YZ=8b, XZ=175 in the above equation.
[tex]6b+8b=175[/tex]
[tex]14b=175[/tex]
Divide both sides by 14.
[tex]b=\frac{175}{14}[/tex]
[tex]b=12.5[/tex]
The value of b is 12.5.
The length of YZ is
[tex]YZ=8b=8\times 12.5=100[/tex]
Therefore the length of YZ is 100 units.
