Respuesta :

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.

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