Two different plants that grow each year at different rates are represented by the functions f(x) and g(x). in what year does the height of the f(x) plant exceed that of the g(x) plant?

month (x) f(x) = 3x g(x) = 5x + 12
1 3 17
2 9 22

a.) month 3
b.) month 4
c.)month 5
d.)month 6

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.