Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the
top vertex. The vertices are labeled ABC. Angle y is located inside the triangle at vertex B. Angle z is located inside the triangle at vertex C. Angle x is located outside the triangle between side AC and the extended leg. x + z = y y + z = x x + y + z = 180 degrees x + y + z = 90 degrees
The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles
In this problem
Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC
therefore
Applying the Exterior Angle Property of a Triangle
The formula for the future value of the account is A = P(1 + r/n)^(nt) where you have A = 19909.20 P = 8975 r = 0.038 t = 21
The resulting equation is not one that can be solved by algebraic means, but we can use a graphing calculator to find n. This graph shows us n = 12, so
