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10)

Calcul:

+ 3 = 3 -5

3 = (3 - ) - 5

3 = 2 -5

3 + 5 = 2

8 = 2

[tex]\frac{8}{2}[/tex] = [tex]\frac{2x}{2}[/tex]

4 =

Vérification:

AM = 4 + 3 = 7

MB = 3 x 4 - 5 = 12 - 5 = 7

Donc:

AB = 14

11)

Calcul:

(8) ÷ 2  = (4) ÷ 2

4 = 2

4 - 2 = 0

2 = 0

[tex]\frac{2x}{2}[/tex] = [tex]\frac{0}{2}[/tex]

= 0

Vérification:

A = (8 x 0) ÷ 2 = 0 ÷ 2 = 0

B = (4 x 0) ÷ 2 = 0 ÷ 2 = 0

Donc:

AB = 0

12)

Calcul:

+ 12 = 3 + 6

12 = (3 - ) + 6

12 = 2 + 6

12 - 6 = 2

6 = 2

[tex]\frac{6}{2}[/tex] = [tex]\frac{2x}{2}[/tex]

3 =

= 3

Vérification:

A = 3 + 12 = 15

B = 3 x 3 + 6 = 9 + 6 = 15

Donc :

= 3

13)

Calcul:

2 x 4 = 2( + 3) + 2( + 1)

8 = 2 + 6 + 2 + 2

8 = 2 + 2 + 6 + 2

8 = 4 + 8

8 - 4 = 8

4 = 8

[tex]\frac{4x}{2}[/tex] = [tex]\frac{8}{4}[/tex]

= 2

Vérification:

A = (2 x 2) x 4 = 4 x 4 = 16

B = 2(2+3) + 2(2+1) = 2 x 5 + 2 x 3 = 10 + 6 = 16

Donc:

= 2

14)

Calcul:

+ 16 + + 24 + + 5 = 180

+ + + 16 + 24 + 5 = 180

3 + 40 + 5 = 180

3 + 45 = 180

3 = 180 - 45

3 = 135

[tex]\frac{3x}{3}[/tex] = [tex]\frac{135}{3}[/tex]

= 45

Vérification:

A = 45 + 16 + 45 + 26 + 45 + 5 = 45 x 3 + 40 + 5 = 135 + 45 = 180

B = 180

Donc:

∠BOA = 45 + 16 = 61

∠BOC = 45 + 24 = 69

∠DOA = 180