What theorem would you use to solve for x?

9514 1404 393

  Triangle Angle Sum

Step-by-step explanation:

Corresponding angles applies to parallel lines crossed by a transversal, or to angles in similar figure. The term has no meaning in this geometry.

Supplementary angles refers to a pair of angles that have a sum of 180°. Usually these are seen in quadrilaterals and figures involving parallel lines. The term has no meaning in this geometry.

The Pythagorean theorem relates side lengths in a right triangle. It has no utility in this geometry. Here we're concerned with angles, not sides.

__

The theorem useful for finding x is the Triangle Angle Sum theorem, which tells you the sum of angles in a triangle is 180°. That theorem lets you write a linear equation involving x, so that x can be found.

  (3x -2) +(x +8) +(2x +3) = 180

  6x +9 = 180

  x = 171/6 = 28.5°

The three angles are 36.5°, 60°, 83.5°.

f(x) is   are being squared

g(x) is   increasing by 2

h(x) is adding .25 each time

k(x) is taking the square root

f(x) and k(x) are exponential functions

the answer is a) a healthy economy because it results from a steady rise in demand.