What is the equation of the line which includes points (-3, 2) and (1, 6)?
1 answer:
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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.
Answer:
Price of Caleb's groceries before tax = $64
Step-by-step explanation:
Let the price of groceries before tax be =$
Sales tax charged = $1.60
Sales tax rate =2.5%
Sales tax charged in terms of will be = 2.5% of the Original price of grocery =
So, we have,
Dividing both sides by
∴
∴ Price of Caleb's groceries before tax = $64