Question

I need the answer to this question to check to see if im right

Answer 1

Your answer would be 17.
Hope This Helps.:)

Answer 2

We are given

tangent line as

`LK=36`

we have

`LM=27`

`LN=LM+MN`

`LN=27-3+3x`

`LN=3x+24`

now, we can use formula

`LK^2=LM*LN`

now, we can plug values

`36^2=27*(3x+24)`

now, we can solve for x

step-1: Divide both sides by 27

`(36^2)/(27) =3x+24`

`3x+24=48`

step-2: Subtract both sides by 24

`3x+24-24=48-24`

`3x=24`

step-3: Divide both sides by 3

`(3x)/(3) =(24)/(3)`

`x=8`

Calculation of MN:

We know that

`MN=-3+3x`

now, we can plug x=8

`MN=-3+3*8`

`MN=21`....................Answer