The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that<span> if one side of a triangle is longer than another side, then the angle opposite the
longer side will have a greater degree measure than the angle opposite the shorter
side.
The converse to the </span>Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than
another angle, then the side opposite the greater angle will be longer than the
side opposite the smaller angle.
Thus, from the proof if AB > AC, then m∠C > m∠B by the <span>converse of the triangle parts relationship theorem</span>.
Graph the inequalities to find the vertices of the shaded region: (2, 3) and (8, 0).
Now, evaluate the the function C = x + 3y at those vertices to find the minimum value.
C = x + 3y at (2, 3) ⇒ C = (2) + 3(3) ⇒ C = 2 + 9 ⇒ C = 11
C = x + 3y at (8, 0) ⇒ C = (8) + 3(0) ⇒ C = 8 + 0 ⇒ C = 8
The minimum value occurs at (8, 0) with a minimum of C = 8
Answer: A
Step-by-step explanation:
There are 52 weeks in a year. 1 frog per week: 52 * 1 = 52
So, cloning about 1 frog per week would be reasonable.
Step-by-step explanation:
General equation of circle:
(x - a)² + (y - b)² = r².
Therefore we have x² + (y - 3.5)² = 12.25.
