The two horizontal lines in the diagram are parallel. the value of x is?

x = 130

Step-by-step explanation:

Since the lines are parallel

The right side angle in the lower triangle = 60° ( alternate angles )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x = 70 + 60 = 130

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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