Răspuns:
Explicație pas cu pas:
e)
A + B + C = 110°*3 = 330°
B + C = 2A
A + 2A = 330°
3A = 330°
A = 330 : 3 = 110°
B + C = 220°
B = C + 40°
C + 40° + C = 220°
2C = 180°
C = 180° : 2 = 90°
B = 220° - 90° = 130°
D = 360° - (110° + 130° + 90°) = 360° - 330° = 30°
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f)
0,5 = 5/10 = 1/2
0,2 = 2/10 = 1/5
0,(3) = 3/9 = 1/3
0,8 = 8/10 = 4/5
A/(1/2) = B/(1/5) = C/(1/3) = D/(4/5)
2A = 5B = 3C = 5D/4
A = 5B/2
C = 5B/3
D = 20B/5 = 4B
A + B + C + D = 360°
5B/2 + B + 5B/3 + 4B = 360°
15B/6 + 10B/6 + 30B/6 = 360°
55B/6 = 360°
B = 6*360°/55 = 39,(27)°
A = 6*360°/55 *5/2 = 98,(18)°
C = 6*360°/55 * 5/3 = 65,(45)°
D = 6*360°/55 *4 = 157,(09)°
