Răspuns:
Explicație pas cu pas:
a)
1/x = 2/10 = 3/y = z/20
1/x = 2/10 => 2 x = 10 => x = 10/2 => x = 5
2/10 = 3/y => 2 y = 3×10 => y = 30/2 => y = 15
2/10 = z/20 => 10 z = 2×20 => z = 40/10 => z = 4
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b)
x/1 = 3,6/4,8 = 1,8/y = z/5,2
x/1 = 3,6/4,8 => x = (36/10) × ( 10/48) =(36/48)⁽¹²=3/4 => x = 0,75
3,6/4,8 = 1,8/y => 3,6y=4,8×1,8⇒ y =8,64/3,6 => y = 2,4
3,6/4,8 = z/5,2 => z = (3,6×5,2)/4,8 =18,72/4,8 => z = 3,9
(36×52)/100 × ( 10/48 ) = (3×13)/10 = 39/10 = 3,9
36/48 = 3/4, iar 52/4 = 13
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c)
9/22,5 = 8/x = 22/y = z/75
9/22,5 = 8/x → produsul mezilor = produsul extremilor
x = (22,5×8)/9 = 180/9 ⇒ x = 20
9/22,5 = 22/y
y = (22,5×22)/9 = 495/9 ⇒ y = 55
9/22,5 = z/75
z = ( 75×9)/22,5 =675/22,5 ⇒ z = 30
675/22,5 = 675 : (225/10) = 675×(10/225) = 30
675 : 225 = 3
