These are the only combinations of exactly 3 tiles that add to 33.
5,7,21
5,9,19
5,11,17
5,13,15
7,9,17
7,11,15
9,11,13
All tiles with numbers above 21 do not help you. 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45. There are 12 of them.
Every three-number combination must have one of the numbers 5, 7, or 9, so if the six numbers from 13 to 21 are picked, in addition to the 12 higher numbers mentioned above, you already picked 18 tiles, and you still have no solution. To obtain the solutions 5,7,21; 5,9,19; 7,9,17; he needs two more numbers in addition to the 18 he already has, so he needs 20 tiles in total to be guaranteed three of them add to exactly 33.
Answer: 20 tiles
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:
-6
Step-by-step explanation:
5p - 14 = 8p + 4
Subtract 8p from both sides.
-3p - 14 = 4
Add 14 to both sides.
-3p = 18
Divide both sides by -3.
p = -6
Answer: -6
Answer:
854/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 1708 and 6 is 2
Divide both the numerator and denominator by the GCD
1708 ÷ 2
6 ÷ 2
