Question

Find the value of the variable and YZ if Y is between X and Z. XY= 11, YZ=4c, XZ=83

Answer 1

So you know the whole line is XZ which is 83.Then you find out it is in two parts so that is XY and YZ which are 11 and 4c. You can make the equation:

11+4c=83
4c=72
c=18

c=18 and YZ=72

Answer 2

Answer:  The required value of the variable c is 18 and that of YZ is 72.

Step-by-step explanation:  Given that Y is in between X and Z, where

XY= 11, YZ=4c and XZ=83.

We are to find the value of the variable c and YZ.

Since the point Y is in between X and Z, so we must have

$XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.$

And,

$YZ=4c=4\times 18=72.$

Thus, the required value of the variable c is 18 and that of YZ is 72.