Question 3 of 40 James is given the diagram below and asked to prove that 2D & ZF. What
would be the missing step of the proof?
Given: DEFE, and Ed forms the angle bisector of ZDEF.
Prove: ZD a ZF
E
D
Reasons
Given
Statements
1. DEFE, EO forms the angle
Disctor of ZDEF
2.
3. ΕΟ ΕΟ
4. ADEO NAREO
5. ZDRZE
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruert
Ο Α. ΕΟ: ΕΟ
O B. ED= EF
O C. DOBO
O D. EO = EF

Use the elimination method to find the solution to the system of equations. 2x - 3y = -9 -x + 3y = 6

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

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