Find the value of x in each case. Give reasons to justify your solutions!

4. find the geometric mean of 4 and 12. 24 8

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.

Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12