What are some good songs about a dad physically abusing his son?
2 answers:
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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.
To show that the ratio is not constant for the function
we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here
represents
.
To find the counter examples here, I will use the values and
. For
, the equation tells us that the output is
. For this value of
the point is point is
. The ratio
. For the
,
. For this value of
the point is
. The ratio
. Clearly this ratio is not constant for all ordered pairs.