Answer:
The numerical value of XY is 11
The numerical value of YZ is 13
Step-by-step explanation:
Given that
XY =3x- 4 , YZ = 2x +3, and XZ =24
As Y is between the points X and Z so the sum of length of XY and YZ will be equal to the length of XZ. Putting this in mathematical form
[tex]XY+YZ = XZ[/tex]
Putting the values
[tex](3x-4) + (2x+3) = 24\\3x-4+2x+3 = 24\\5x-1 = 24\\5x = 24+1 \\\frac{5x}{5} = \frac{25}{5}\\x = 5[/tex]
Now
[tex]XY = 3x-4 = 3(5)-4 = 15-4 = 11[/tex]
[tex]YZ = 2x+3 = 2(5)+3 = 10+3 = 13[/tex]
Hence,
The numerical value of XY is 11
The numerical value of YZ is 13
