Achess competition has eliminations each round. the table below shows the number of players in each of the first 5 rounds of the tournament:

round (x)
12345

players f(x)
256128643216

compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate.

a.) −60; on average, there was a loss of 60 each round.
b.) −240; on average, there was a loss of 240 each round.
c.) 4; there were 4 rounds between rounds 1 and 5.
d.) 240; there were 240 fewer players between rounds 1 and 5.

just sum

10 + 10 = 20

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°.