In the figure below, pq=qr=rs. find the length of tu

The length of TU is 9 units.

Step-by-step explanation:

In the figure, given 4 parallel lines and also a transversal with equal intercepts PQ=QR=RS. And given another transversal line with TX=3 units.

we have to find the length of TU

By the theorem, "If 3 parallel lines cut off equal segments on some transversal then they cut off equal segments on any of other transversal line"

Hence, TX=XZ=ZU=3

TU=TX+XZ+ZU=3+3+3=9 units

Hence, the length of TU is 9 units.

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

2: 10

step-by-step explanation: