We callprove the cut property of matroids: if m = (x , i) is a matroid with distinct weights w ∈ r x assigned to its ground set, and c is a cut of m, then the element i ∈ c of maximum weight is in every maximum-weight basis of m

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Find the required measurements of the following trapezoids. a = 8 cm b = 16 cm h = 10 cm

Is trapezoid abdc the result of a dilation of trapezoid mnpq by a scale factor of ? why or why not? yes, because ab and cd are each the lengths mn and qp. yes, because sides ab and cd are parallel to sides mn and qp. no, because ab is the length mn but cd is the length qp. no, because sides ab and cd have different slopes from sides mn and qp.