What is the value of k?

k=29 degrees

Step-by-step explanation:

That is a linear pair which means if you add those both they add up to 180

5k-3+9+k=180

Then solve

K=29

Step-by-step explanation:

First off, we have to write the whole equation out. We have two equations here ((5k-3) and (9+k)), and because the angles are on a straight line, both equations should add up to 180.

Our equation looks like this: (5k-3)+(9+k)=180.

Next, you want to combine the like terms on the left side of the equation.

Our equations looks like this: (5k+k)+(9-3)=180 OR 6k+6=180

Finally, solve algebraically.

6k+6=180

(6k=174)/6

k=29

Hope this helps :)

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2