Respuesta :

eseevb

Answer:

1. a = 16, b = 14

2. a = 16.5, b = 23.2

3. a = 7.25, b = 6.5

4. a = 8.4, b = 20

Step-by-step explanation:

Problem One:

2a + 6 = 3a - 10

6 = a - 10

16 = a

6b - 3 = 81

6b = 84

b = 14

Problem Two:

4a - 8 + 8a - 10 = 180

12a - 18 = 180

12a = 198

a = 16.5

8(16.5) - 10 = 5b + 6

122 = 5b + 6

116 = 5b

b = 23.2

Problem Three:

5b - 7 = 3b + 6

2b - 7 = 6

2b = 13

b = 6.5

2a = 3(6.5) - 5

2a = 14.5

a = 7.25

Problem Four:

3a + 1.8 = 4a - 6.6

1.8 = a - 6.6

8.4 = a

10(b + 8) = 10(1.4b)

10b + 80 = 14b

80 = 4b

20 = b

mhanifa

Answer:

Properties of a parallelogram

  • Opposite sides and angles are congruent
  • Diagonals bisect each other
  • Adjacent interior angles are supplementary

#13

Opposite sides

  • 2a + 6 = 3a - 10 ⇒ 3a - 2a = 6 + 10 ⇒ a = 16
  • 6b - 3 = 5*16 + 1 ⇒ 6b = 81 + 3 ⇒ b = 84/6 ⇒ b = 14

#14

Opposite and adjacent angles

  • (4a - 8) + (8a - 10)= 180 ⇒ 12a= 180 + 18 ⇒ 12a= 198 ⇒ a= 16.5°
  • 5b + 6 = 8*16.5 - 10 ⇒ 5b = 122 - 6 ⇒ 5b = 116 ⇒ b = 116/5 ⇒ b = 23.2°

#15

Diagonals

  • 5b - 7 = 3b + 6 ⇒ 5b - 3b = 6 + 7 ⇒ 2b = 13 ⇒ b = 6.5
  • 2a = 3*6.5 - 5 ⇒ 2a = 14.5 ⇒ a = 7.25

#16

Opposite sides and alternate interior angles

  • 1.4b = b + 8 ⇒ 0.4b = 8 ⇒ b = 8/0.4 ⇒ b = 20
  • 3a + 1.8 = 4a - 6.6 ⇒ 4a - 3a = 1.8 + 6.6 ⇒ a = 8.4

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