The midpoint of a line divides the line into equal halves.
Given that:
[tex]XY = 5x -3[/tex]
[tex]XZ = 44[/tex]
Y is the midpoint of XZ. So:
[tex]XZ = 2 \times XY[/tex]
[tex]44 = (5x - 3 ) \times 2[/tex]
[tex]44 = 10x - 6[/tex]
Collect like terms
[tex]10x = 44 +6[/tex]
[tex]10x = 50[/tex]
Divide both sides by 10
[tex]x = 5[/tex]
Recall that: Y is the midpoint of XZ
This means that:
[tex]YZ = \frac12 XZ[/tex]
[tex]YZ = \frac12 \times 44[/tex]
[tex]YZ = 22[/tex]
Hence, the value of x is 5 and YZ is 22
Read more about midpoints at:
https://brainly.com/question/2441957
