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Total number of hours she schduled to play the game = 3 hours.
Let us convert mixed fraction into improper fraction
Duration of each round = .
In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.
÷
Converting division sign into multiplication flips the second fraction.
Crossing out 12 by 4, we get 3 on the top of second fraction.
Because problem is about number of rounds.
So, total number of round would be 5.
Answer:
Given : BRDG is a kite that is inscribed in a circle,
With BR = RD and BG = DG
To prove : RG is a diameter
Proof:
Since, RG is the major diagonal of the kite BRDG,
By the property of kite,
∠ RBG = ∠ RDG
Also, BRDG is a cyclic quadrilateral,
Therefore, By the property of cyclic quadrilateral,
∠ RBG + ∠ RDG = 180°
⇒ ∠ RBG + ∠ RBG = 180°
⇒ 2∠ RBG = 180°
⇒ ∠ RBG = 90°
⇒ ∠ RDG = 90°
Since, Angle subtended by a diameter or semicircle on any point of circle is right angle.
⇒ RG is the diameter of the circle.
Hence, proved.
