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
