3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees. In the diagram, what is the measure of AngleWRS? 5° 7.5° 25° 37.5°

C. 25°

Explanation:

Prepare a sketch such that the first line with points VRS intersect the line with points TRW at R where ∠WRS and ∠VRT are vertical angles.

Because line TW intersect line SV at R, then ∠WRV and ∠SRT are vertical angles.

The sum of ∠SRT and ∠VRT =180°

Thus (25x +30)°+(5x)° =180°

         25x +30° +5x =180°

          30x= 180°-30°

          30 x = 150°

           x= 150/30

            x= 5°

∠SRT = 25x+30 = 25*5 +30 =155°

∠WRS= 180°-155°=25°

it provides an alternative energy pathway for the reaction to proceed.

a catalyst is a substance that speeds up the rate of a chemical reaction but is not consumed during the course of the reaction.

catalysts increase the rate of reaction without being used up. they do this by lowering the activation energy needed. with a catalyst, more collisions result in a reaction, so the rate of reaction increases. different reactions need different catalysts.

a catalyst works by providing an alternative reaction pathway to the reaction product. the rate of the reaction is increased as this alternative route has a lower activation energy than the reaction route not mediated by the catalyst.