Eli shows that triangle A is congruent to triangle B by rotating triangle A around point K and then translating it so it matches up with triangle B exactly. Which conclusion
can be drawn from Eli's transformations?

A. if two triangles have right angles, all pairs of corresponding sides are congruent.

B. if right triangles have congruent hypotenuses and one pair of congruent legs, the triangles are congruent.

C. if two pairs of sides and the included angle are congruent, the triangles are congruent.

D. if one pair of angles is congruent, then all pairs of angles are congruent.

What is the ratio of the length of an object in yards to the length of the same object in miles?

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).

What is the period of the sinusoidal function ?