Given: HF || JK; HG ≅ JG Prove: TriangleFHG ≅ TriangleKJG Triangles F H G and K J G connect at point G. Sides F H and J K are parallel. Sides H G and G J are congruent. To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof? AngleFGH ≅ AngleKGJ because vertical angles are congruent. AngleJKG ≅ AngleHFG because vertical angles are congruent. AngleFHG ≅ AngleJKG because right angles are congruent. AngleHFG ≅ AngleKJG because alternate interior angles are congruent.

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

Complete the solution of the equation. find the value of y when x equals to 28 x+3y=28

Select all the expressions that will include a remainder.