Question

Which value of y would make OP ll LN? A 16 B 24 C 32 D 36

Answer 1

The answer is D)36

Explanation:

edge 2021

Answer 2

see the attached figure to better understand the problem

we know that

if OP ll LN

then

by proportion

`(MO)/(ML) =(MP)/(MN)`

we have that

`MO=28\ units \\ML=28+14=42\ units\\MP=y\ units\\MN=(y+18)\ units`

substitute

`(28)/(42) =(y)/((y+18))\\ \\28(y+18)=42y \\ \\42y-28y=28*18 \\ \\14y=504 \\ \\y=36\ units`

therefore

the answer is

The value of y is
`36\ units`