Me out

1.what is the measure of the missing angle? (first image)

81°
84°
87°
90°

2.

find the value of x.
(second image)
133°
135°
137°
139°

3.

how many triangles can a heptagon be divided into?
3
4
5
6

4.

if a pentagon is a regular pentagon, then what is the measure of each interior angle?
108°
36°
144°
72°

5.

which polygon has interior angles whose sum is 1440°?
octagon
nonagon
decagon
11-gon

6.

if m∠c = 147°, determine m∠e.
(third image)
147°
57°
33°
180°

7.

an interior angle and an exterior angle are adjacent. the exterior angle measures 113°. what is the measure of the interior angle?
67°
77°
63°
73°

8.
(forth image)
find the measure of y in the drawing.

51°
129°
61°
139°

9.for the following diagram, assume that l || m
(fifth image)

solve for each of the variables, x and y. for each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find the solution.

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).