Question

Find the value of the variable and YZ if Y is between X and Z

Answer 1

If point Y is between points X and Z, then

XY + YZ = XZ

In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)

So 6b + 8b = 175

Can you finish it?

Answer 2

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

$XY+YZ=XZ$

Substitute XY=6b, YZ=8b, XZ=175 in the above equation.

$6b+8b=175$

$14b=175$

Divide both sides by 14.

$b=\frac{175}{14}$

$b=12.5$

The value of b is 12.5.

The length of YZ is

$YZ=8b=8\times 12.5=100$

Therefore the length of YZ is 100 units.