Mrs. Riospays her butlers $500 plus $150 for each hour that they drive her around to run errands. Mr. Pavlovsky pays his butlers $650 plus $125 for each hour that they drive him around to run errands. Write a system of equations that represents this situation. Let x represent the number of hours.

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 of the following pair(s) of circles have las a common external tangent? select all that apply. a and b a and c b and c

The sum of the first eight terms of an arithmetic progression is 9m + 14. the fifth term of the06 progression is 2m - 6, where m is a constant.given that the first term of the progression is 26,find the value of the common difference, d and thevalue of m.