One seventh of a number added to one third of the same number is 6/7. find the number. express your answer as a fraction in simplest form.

Quick! what is the area of this trapezoid?

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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.