4. Point V is somewhere on UW. If UV - 2x - 13, VW--18+ 2x, and UW = 17, then find the length of UV.

The length of UV is 11.

Solution:

UV = 2x - 13

VW = -18 + 2x

UW = 17

UV + VW = UW

2x - 13 - 18 + 2x = 17

4x - 31 = 17

Add 31 on both sides.

4x - 31 + 31 = 17 + 31

4x = 48

Divide by 4 on both sides.

x = 12

UV = 2x - 13

     = 2(12) - 13

     = 24 - 13

UV = 11

The length of UV is 11.

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