Fill in the missing statement and reason in the proof of the alternate interior angles theorem.
it is given that ab is parallel to cd and points e, g, h, and f are collinear. zagf and legb are vertical and congruent by the vertical angles theorem. zegb and
lehd are congruent according to the
finally, by the transitive property of equality.
corresponding angles theorem; zagf and zehd are congruent
o alternate exterior angles theorem, zegb and lehd are congruent
o corresponding angles theorem; zegb and zehd are congruent
o alternate exterior angles theorem; zagf and lehd are congruent

Abox of chocolates costs $7. which equation relates the number of boxes sold (x) and total cost of the boxes sold (y)?

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

Ntriangle abc, m∠a = 35° and m∠b = 40°, and a=9. which equation should you solve to find b?