Use this triangle.
a. find the length of the hypotenuse using the special relationships for a 45 –45 –90 triangle. explain the relationships.
b. write the exact value for sin 45 as a fraction in simplest form.
c. use the formula for the area of a triangle given sas to find the area of the triangle. explain your steps.
d. use a different method to find the area of the triangle. explain your steps.

True or false? a circle could be circumscribed about the quadrilateral below.

Which exponential function has an initial value of 2? f(x) = 2(3x) f(x) = 3(2x)

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.