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.
Answer:
d
Step-by-step explanation:d
Answer:
3(p+4m) + 8
Step-by-step explanation:
Factor out a 3 for the first two terms, 3(p+4m) and add 8 like usual
A disjunction is false if both parts of the disjunction are false; otherwise, it is true
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Choice A
4-3=2 is false
6*3=9 is false
both parts are false, so overall the entire disjunction is false
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Choice B
5*6=30 is true
3+4=7 is true
Neither part is false, so overall the entire thing is true
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Choice C
8+3=11 is true
5*4=23 is false
While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
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Choice D
7+6=13 is true
5*2=10 is true
Neither part is false, so overall the entire thing is true
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In summary, we have
A. False
B. True
C. True
D. True
Making choice A the only answer that is false. So choice A is the final answer
