Part a

which solution for the value of x in the figure is incorrect?

2x = x + 75
x = 75

2x + x + 75 = 180
3x + 75 = 180
3x = 105
x = 35

(1 point)

solution a is incorrect. solution b is incorrect. both solutions are incorrect. neither solution is incorrect.

part b
which reason could you give to explain your answer to the previous item?
(1 point)

the labeled angles are corresponding angles, which are congruent. congruent angles have equal measures, so x + 75 should be set equal to 2x, not added to 2x and set equal to 180.the labeled angles are alternate interior angles, which are congruent. congruent angles have equal measures, so x + 75 should be set equal to 2x, not added to 2x and set equal to 180.the labeled angles are same-side interior angles, which are supplementary. the measures of supplementary angles total 180 degrees, so x + 75 plus 2x should be set equal to 180. the angle measures should not be set equal to each other. the labeled angles are a linear pair, which mean that they are supplementary. the measures of supplementary angles total 180 degrees, so x + 75 plus 2x should be set equal to 180. the angle measures should not be set equal to each other.

Apple pie is removed from 350 degree oven. temperature of the pie t minutes after being removed id given by the function t(t)=72+268e-0.068t

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).

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.