Find the length of LM. Show your work.

Solution,

<N=180-53-44

=83

hope this helps..

Good luck on your assignment..

LM =20.00356825

Step-by-step explanation:

We will use the law of sines

sin M        sin N  

=

LN             LM

We can find the measure of N since the sum of the angles of triangles is 180

L+ M+ N =180

53+ 44 + N =180

N =180 - 53-44

N =83

sin 44        sin 83

=

14             LM

Using cross products

LM sin 44 = 14 sin 83

LM = 14 sin 83 / sin 44

LM =20.00356825

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.