In the diagram below of triangle CDE, F is the midpoint of CE and G is the midpoint of DE. If m ECD = 51 – 7x, and m
ZEFG = -8x +53, what is the measure of ZECD?

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Players on the school soccer team are selling candles to raise money for an upcoming trip. each player has 24 candles to sell. if a player sells 4 candles a profit of$30 is made. if he sells 12 candles a profit of $70 is made

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)