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The segment QR is 3 units long.
Step-by-step explanation:
Step 1:
The length of the segment PQ [tex]= 5x[/tex],
The length of the segment QR [tex]=3x[/tex],
The length of the segment PR [tex]= 5x + 3x = 8x.[/tex]
The length of the segment PR = 8 units.
Step 2:
So, we have [tex]8x = 8.[/tex]
We can calculate the value of x.
[tex]8x =8,x = \frac{8}{8} =1.[/tex]
So the value of x is 1.
Step 3:
The length of segment QR is 3x long, so
The length of segment QR[tex]= 3x = 3(1) =3.[/tex]
Therefore the segment QR is 3 units long.