Find the value of x so that f || g. the diagram is not to scale.

Lines f and g are parallel with a transversal forming same side interior angles with measures 3x and 5x + 36.

Theorem: If parallel lines are cut by a transversal, then same side interior angles are supplementary.

The angles measuring 3x and 5x + 36 are supplementary, so their measures add up to 180 degrees

3x + 5x + 36 = 180

8x + 36 = 180

8x = 144

x = 18

The answer is x = 18.

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

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