Sleek Meadows Horse Farm plants 31 acres of hay and oats. The owners know that their needs are best met if they plant 9 acres more of hay than oats. How many acres of each should they plant? and

In a recent NBA game, the Miami Heat scored 79 points on a combination of 35 two- & three- point baskets. How many two-point shots were made and how many three-pointers were made?

c.)

step-by-step explanation:

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