Given mLA = m2C = 89°, and mZD = mZB, indicate the theorem number that makes it a parallelogram. DO = 12, BO = 12, AO = 16. Find CO. DC = 4x + 2, AB = 5x - 3, AD = CB. Find x. AD = 2x + 1, CB = x + 8, DC = AB. Find x.

Find the equation of the circle circumscribed by the triangle ABC, where A=[-1,-1], B=[-5,2], C=[1,10] and verify that this triangle is right. Please be more specific in solution. Thank you.

Draw how far will a point travel if it goes (a) 1/4, (b) 1/12, (c) 3/8, and (d)5/6 of the way around theunit circle.

How do you find the sun of the interior angles of an octagon if we're not allowed to use the formula?

a and b are two points in the third-dimenson. Show the equation that describes the set of points that are the same distance away from a and b.

ILLUSTRATION No 3. If A (-313) is the midpoint of J (x15) and € (1,y), find the values of x and y.

The roller coaster is 80 feet above the ground at a horizontal position of 110 feet from the boarding station.The roller coaster is at a height of 100 feet above the ground as it descends the hill and reaches a horizontal position of 170 feet from the boarding station.The roller coaster levels off at a height of 80 feet above the ground at a horizontal position of 200 feet from the boarding station, then resumes dropping.A drawing of a section of the roller coaster with points marked at 110 comma 80, 170 comma 100, and 200 comma 80.Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial function representing the height of the roller coaster,  h open parentheses x close parentheses, at a horizontal position of x feet from that of the boarding station. This rule can be left in factored form. Fill in the blanks to report your result as follows. a should be written as an integer or…