A rectangle and triangle have the same area and the same base measurement. How does the height of the triangle compare to the height of the rectangle?

Area of Triangle is calculated by:

AT = baseT x heightT x (1/2)

Area of Rectangle is calculated by:

AR = baseR x heightR

Given AT = AR, baseT = baseR

=> heightT x (1/2) = heightR

=> heightT = 2 x heightR

or

height of triangle is two times larger than height of rectangle

Hope this helps!

:)

stops on an even number.

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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