What is the area of a trapezoid with coordinates d 4,3 e 4,0 f 2,1 and g 2,3

5 square units.

Step-by-step explanation:

See the attached graph where D, E, F, and G points are plotted.

So, in trapezium DEFG, the parallel sides are GF and DE.

Now, it is clear from the graph that, the length of segment GF = (3 - 1) = 2 units and the length of line segment DE = (3 - 0) = 3 units.

Now, the altitude of the trapezium is GD with length (4 - 2) = 2 units.

Therefore, the area of the trapezium will be given by

⇒ square units. (Answer)

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: