Given triangle qrs is congruent to triangle tuv. qs=3v+2 and tv=7v-6 find the lengths?

Side length is 8

Step-by-step explanation:

Since the triangles are congruent, side QS and side TV are congruent.  (the letters are in the same position in the order.  Set the equations equal to each other to solve for 'v'

3v + 2 = 7v - 6

   8 = 4v     (add 6 to both sides, subtract 3v from both sides)

   2 = v    

this isn't the length, plug '2' into either equation to find the length...

3(2) + 2 = 8

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°