If lines l and m are parallel in the figure above, and 2a − 3b = 95, then what is the value of b? Select one: A. 39
B. 45
C. 53
D. 61

This question has no answer. The closest i could get was b= -95/3 + 2/3 a

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

-23, -29, 34, -38, -45, -47, -59, 67, -78, -110, -514, 710