How to find rapidly the coordinates of Q:
since Q is the center of gravity of the triangle ABC, so we have the following vector relationship
vecQA +vecQB +vecQC =<span>vec0
</span><span>vecQA=(x-3, y+2)
</span><span>vecQB=(x-1, y+5)
</span><span>vecQC=(x-7, y+5)
</span><span>vec0=(0, 0)
</span>
so, vecQA +vecQB +vecQC =<span>vec0 is equivalent to
</span>x-3 +x-1+x-7 =0, and y+2+y+5+<span>y+5=0 so 3x-11=0 implies x=11/3
</span><span>and 3y+12=0 implies y=-12/3
finally the </span><span>the coordinates of point Q is (11/3, -4)</span><span>
</span>
To find the answer:
The probability of getting a ten:
=4/52
The probability of getting a king:
=4/52
The probability of getting a diamond:
=52×1/4
=13/52
However,there would be king and ten of diamond which overlapped and therefore -2/52 would be in the equation.
We can then sum up to find the equation:
=4/52+4/52+13/52-2/52
=21/52-2/52
=19/52
Therefore the answer is 19/52.
Hope it helps!
Answer:
Answer C
Step-by-step explanation:
If the polygon has n sides, then the number of diagonals the polygon has is
(n - 3)*n/2
So for a seven sided figure the number of diagonals would be
(7 - 3)(7)/2 = 4*7/2 = 28/2 = 14
Answer:either c or b
Step-by-step explanation: to be honest I searched up
-4/3 should be the answer