Mathematics, 12.11.2020 16:50 preston7837
A rectangle inscribed in a square is also a square. Proof Let rectangle MNPQ be inscribed in square ABCD as shown in Fig 2.6. Drop perpendiculars from P to AB and from Q to BC at R and S, respectively. Clearly PR QS. Furthermore, PM QN. SO PMR QNS, and hence PMR QNS. Consider quadrilateral MBNO where O is the point of intersection of QN and PM. Its exterior angle at the vertex N is congruent to the interior angle at the vertex M, so that the two interior angles at the vertices N and M are supplementary. Thus, the interior angles at the vertices B and O must also be supplementary. But ABC is a right angle, and hence, NOM must also be a right angle. Therefore the diagonals of rectangle MNPQ are perpendicular. Hence, MNPQ is a square.
Answers: 2
Mathematics, 22.06.2019 05:00
In a quadratic function of the form ax^2+bx+c, which of the following is not true? a. the y-intercept is c. b. if a is positive, the parabola opens up. c. the vertex has an x-coordinate of -b/2a. d. the axis of symmetry is the line y=-b/2a.
Answers: 3
Mathematics, 22.06.2019 05:00
Q= {1.7, 1.1, 1.4, 2.1, 2.3, s}. what is the absolute difference between the greatest and least possible values of the median of set q? express your answer as a decimal to the nearest hundredth.
Answers: 3
A rectangle inscribed in a square is also a square. Proof Let rectangle MNPQ be inscribed in square...
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