Quadrilateral bcde is inscribed in circle a as shown. `bar(bd)` divides the quadrilateral into two triangles, `deltabcd` and `deltabed`. which statement is true about the triangles?   a.    the angle bisectors and the perpendicular bisectors for both triangles intersect at the same point. b.  the angle bisectors of  `deltabcd`  intersect at the same point as those of  `deltabed`.c.  the perpendicular bisectors of  `deltabcd`  intersect at the same point as those of  `deltabed`.  d.  the angle bisectors of  `deltabcd`  intersect at the same point as the perpendicular bisectors of  `deltabed`.

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

What will the graph look like for a system of equations that has no solution? a. the lines will be perpendicular. b. the lines will cross at one point. c. both equations will form the same line. d. the lines will be parallel.