7. the product of a number, x, and five is half the sum of the number and two. which answer represents this situation? a. 5 =12 + 2 b. 5 +12( + 2) c. 10 =12( + 2) d. 10 +12 + 3

In word problems, we can take what they say to create an expression of it.

"The product of a number, x, and five is half the sum of the number and two."

We can write this as

5x = (x + 2) / 2

The correct answer would be A I assume, but some pieces are missing.

If A is 5x = 1/2x + 2, then that is the correct answer.

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