In ΔKLM, m = 59 cm, ∠M=139° and ∠K=36°. Find the length of l, to the nearest 10th of a centimeter.

7.8cm

Step-by-step explanation

You first want to find what L's degree is so you do 180=139-36

L is equal to 5 degrees.

You set up the fraction L/sin5=59degrees/sin139

Cross multiply so you get Lsin139=59sin5

To get L by itself you divide by sin 139 so, L=59sin5 divided by sin 39 which is 7.83 and then you simplify it to the nearest  10th so its 7.8.

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

b: y = 2x + 2

step-by-step explanation:

y = 2x + 1

we want a line that is parallel, so it will have the same slope

the line is in the form y= mx+b, so the slope is 2

we have a slope and the y intercept (0,2)

since x is 0 we know the y point which is the y intercept

we can use y= mx+b to write the equation of the line

m is the slope and b is the y intercept

y = 2x +2