Given: δabc prove: the three medians of δabc intersect at a common point. when written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point: statements justifications point f is a midpoint of line segment ab point e is a midpoint of line segment ac draw line segment be draw line segment fc by construction point g is the point of intersection between line segment be and line segment fc intersecting lines postulate draw line segment ag by construction point d is the point of intersection between line segment ag and line segment bc intersecting lines postulate point h lies on line segment ag such that line segment ag ≅ line segment gh by construction i line segment bd ≅ line segment dc properties of a parallelogram (diagonals bisect each other) ii line segment fg is parallel to line segment bh and line segment ge is parallel to line segment hc midsegment theorem iii line segment gc is parallel to line segment bh and line segment bg is parallel to line segment hc substitution iv bgch is a parallelogram properties of a parallelogram (opposite sides are parallel) line segment ad is a median definition of a median which is the most logical order of statements and justifications i, ii, iii, and iv to complete the proof? ii, iii, i, iv iii, ii, i, iv ii, iii, iv, i iii, ii, iv, i

Simone claims the initial value and y-intercept are the same thing on a graph. is she correct? if you know that a line has a slope of and a y-intercept of 7, what is the equation for that line in slope-intercept form?

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?