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In the given figure ∠ABF + ∠CBF = 180˚ (Angles in a straight line) 75˚ + ∠CBF = 180˚ ∠CBF = 105˚ Now, in ∆CBE ∠CBE + ∠BCE + ∠CEB = 180˚ 105˚ + ∠BCE + 44˚ = 180˚ ∠BCE = 180˚ - (105˚+ 44˚) ∠BCE = 31˚ ∠BCE + ∠DFB = 180˚ (Sum of opposite sides of Cyclic Quadrilateral) ∠DFB = 180˚ - 31˚ = 149˚ ∠DFB + ∠AFB = 180˚ ∠AFB = 180˚ - 149˚ = 31˚ In ∆ABF ∠AFB + ∠FAB + ∠AFB = 180˚ ∠FAB = 180˚-(75˚+31˚) = 74˚
Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. A third pipe C can empty the tank in 24 hours. If all three pipes are opened t...
A man spends 30% of his salary on rent, 25% on groceries, and the remaining on savings. If he saves ₹18,000, what is his total salary?
The square roots of the complex number z=3+4i are:
If the determinant of a 3×3 matrix A is 2, then the determinant of adj(A) is
A solution contains 40% sugar and the rest water. After adding 25 liters of water, we get another solution where the percentage of sugar drops to 20%. T...
Solve the equation: sin x = 1/2, 0 ≤ x ≤ 2π
If a person loses Rs 20 by selling an item for Rs 140 then what is the loss percentage?
In a triangle, the inradius is 6 cm, the circumradius is 9 cm, and the area is 54 cm². What is the semiperimeter of the triangle?
Below given are 2 wrong number series.
Series I: 19, 30, 6, 45, – 11, 67
Series II: 141, 148, 223, 398, 723, 1248
I. The absolute...
