In geometry vertical angles are congruent, meaning they have the same degree measure. you see these when two straight lines form and x shape. angles that are opposite one another are called vertical angles. if two of these congruent angles have the same degree measure and angle 1 is (3x+10) degrees and angle 2 is (5x-4) degrees, set the expressions equal to one another and find the degree measure. hint: don't just solve for the variable x, you have to solve for degree measure by substitution. do so in both expressions as a way to check your work. the degree measures should be the same if you solved for the variable correctly

Diane’s bank is offering 5% interest, compounded monthly. if diane invests $10,500 and wants $20,000 when she withdrawals, how long should she keep her money in for? round to the nearest tenth of a year.

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).

Could someone me with this question i’ve been stuck on it for 20 minutes