Mackenzie buys 13 bottles of apple juice at the corner store for a total cost of $9.23. Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of that matches the context.

Acircle has the equation (x-2)^2 +y^2 =5. what are the coordinates of the circle's center?

This is so hard and it’s for a test

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.