(05.02)in the figure below, angle y and angle x form vertical angles. angle y forms a straight line with the 80° angle and the 60° angle. a straight line is shown and is marked with three angles. the first angle measures 80 degrees. the second angle measures 60 degrees. the third angle is labeled y. the line between the 60 degree angle and angle y extends below the straight line. the angle formed is labeled angle x. write and solve an equation to determine the measure of angle x.

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq

Cole says the distance between points (-5,0) and (0,-5)is 5 units. is he correct? explain why or why not.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)