<h3>consistent independent</h3><h2>Explanation:-</h2><h3>The system of linear equations {3x−y=2y=3x+2 describes <em><u>consistent </u></em><em><u>independent </u></em><em><u>.</u></em></h3><h3>Hope it is helpful to you </h3><h3>stay safe healthy and happy ☺️</h3>
In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that and BF= . Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is