In tvw if vw is three meters longer than tv, tw is 20 meters shorter than the sum of vw and tv, and the perimeter of tvw is 74 meters, find the length of vw.

explain !

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.