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I WILL DIE IF NO ONE HELP ME PLEASE HELP IM SOOOO SADDDD!!!!in the opposite figure the unit of length is the centimeter
(the points O K and P are collinear )
(the points O B and A are collinear)
(KB) and (PA) are parallel

OK=X,OP=Y
KB=5
KP=6
and PA=8
CALCULATE THE LENGTH OP​

I WILL DIE IF NO ONE HELP ME PLEASE HELP IM SOOOO SADDDDin the opposite figure the unit of length is the centimeter the points O K and P are collinear the poin class=

Respuesta :

mhanifa

Answer:

  • OP = 16

Step-by-step explanation:

  • Parallel lines cut the transversals into proportional segments.
  • ΔAPO ~ ΔBKO by SAS

Ratio of corresponding sides are same in similar figures:

  • (x + 6)/x = 8/5
  • 8x = 5(x + 6)
  • 8x = 5x + 30
  • 3x = 30
  • x = 10

Find OP:

  • OP = x + 6 = 10 + 6 = 16

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