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

$\frac{36^2}{27} =3x+24$

$3x+24=48$

step-2: Subtract both sides by 24

$3x+24-24=48-24$

$3x=24$

step-3: Divide both sides by 3

$\frac{3x}{3} =\frac{24}{3}$

$x=8$

Calculation of MN:

We know that

$MN=-3+3x$

now, we can plug x=8

$MN=-3+3*8$

$MN=21$....................Answer