7(w+2)=-6(2w-1)+3w
solve for w.

9514 1404 393

  w = -1/2

Step-by-step explanation:

Eliminate parentheses, collect terms:

  7w +14 = -12w +6 +3w . . . eliminate parentheses

  7w +14 = -9w +6 . . . . . . . . collect terms

  16w +14 = 6 . . . . . . . . . . . . add 9w

  16w = -8 . . . . . . . . . . . . . . . subtract 14

  w = -1/2 . . . . . . . divide by 16, reduce the fraction

__

Check

  7(-1/2 +2) = -6(2(-1/2) -1) +3(-1/2)

  7(3/2) = -6(-2) -3/2

  21/2 = 12 -3/2 . . . . . true, answer checks OK

your answer is c. 97 (don't delete this again)

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