Offering many points!
a. write an equation to find the value of x.
b. show how to solve the equation.
c. find the measure of the smallest interior angle of the triangle.
when answering an extended response question, you can describe how you are going to do the problem and then carry out the steps. for the exercise, begin with the following observation and write a 4-point response.

the largest exterior angle has measure x+8 and the smallest interior angle is a supplement of that angle.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

The winner of a golf tournament made five putts for birdies. the lengths of these putts are in the table shown. what is the total distance of the putts in the yards, feet, and inches?