Question

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​

Answer 1

• OP = 16

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