Last year, 20,820 people attended a kite festival. this year, 19779 people attended it. if attendance continues to decrease by the same percent each year, how many people can be expected to attend the kite festival next year? explain your reasoning.

Well you start by dividing 19779 by 20820 to see the percent of people compared to last year (it being 95%). Then you take 19,779 and multiply it by the same percentage, or 0.95. That means that there should be 18790 (it's technically 18790.1 but since that's people you round to the nearest whole number).

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3