Use the drop-down menus below to state the sequence of transformations that maps Figure Q onto Figure R in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.

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.

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x