George is given two circles, circle o and circle x, as shown. if he wants to
prove that the two circles are similar, what would be the correct fourth step in
his proof?
given: the radius of circle ois r, and the radius of circle
prove: circle o is similar to circle x.
1.c = 2x7 and c = 251' by the definition of circumference.
2.
= 33%, and
by the division property of equality.
3. d = 2r and d = 21 by the definition of diameter.
5.
and
by the substitution property.
6. circle ois similar to circle x because all the linear dimensions are in the
same proportion

Initially 100 milligrams of a radioactive substance was present. after 6 hours the mass had decreased by 4%. if the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (round your answer to one decimal place.)

5x + 2 = 12 solve the following equation. then place the correct number in the box provided.

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).