Respuesta :

QR/KL=PQ/JK=PR/JL
t/1.5=25/5=22.5/4.5
t/1.5=5=5
t/1.5=5
solving for t:
1.5(t/1.5)=1.5(5)
t=7.5

Answer: t=7.5

By similarity of triangles we have the following relationship:

 (t) / (22.5) = (1.5) / (4.5)

 Clearing the value of t we have:

 t = ((1.5) / (4.5)) * 22.5

 Simplifying we have:

 t = ((1) / (3)) * 22.5

 The value of t is:

 T = 7.5

 Answer:

 T = 7.5