Jenny decides to buy two cans of juice for each guest she has ​invited to a party. ​She buys the cans and puts cans in each of rooms in her house.

1. are the triangles similar and if so why? what is the value of x? show your work.

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

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.