B = number of boys = 8 G = number of girls The average mass of everyone is: [ (55)B + (52)G ] ⁄ (B + G) = 53.2 (55)B + (52)G = (53.2)B + (53.2)G (1.8)B = (1.2)G (1.5)B = G The ratio of girls to boys is —> 1.5 :1 If there are 8 boys, then there are 12 girls
First question’s answer:
Since angle A = Angle E
Therefore, Angle B (=x) = Angle D
B = X
D = 66
By replacement B = X = D = 66
So, B = 66
Answer is (A)
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Second question’s answer:
Since Angle F = 63 & Angle C = (3X + 3)
Therefore, Angle F = Angle C
63 = (3X + 3)
Add (-3) into each side
63 + (-3) = (3X + 3) -3
3x + -3x = 0
63 + -3x = 3 + 0
63 + -3x = 3
Now, Add '-63' to each side of the equation
63 + -63 + -3x = 3 + -63
63 + -63 = 0
0 + -3x = 3 + -63
-3x = 3 + -63
3 + -63 = -60
-3x = -60
Divide each side by '-3'
x = 20
So, X angle value is 20 (X=20)
The answer is (C)
Good luck!
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