For the quadrilateral ABCD, E and F are midpoints of sides AD and BC respectively. AB = 15, BC = 29, CD = 34, AD = 11, and EF = 31. Find the distance between midpoints of the other two sides, if the diagonals of the quadrilateral are perpendicular.

Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle alternate interior angles. since xy is parallel to zw, we know that these angles are we also know that angle xvy and angle zvw are , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.

Pyotr tchaikovsky sporting goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set. if the air hockey game set costs pyotr tchaikovsky sports $49.32, find the selling price, the markup, and the net profit.

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?