Well 2/3^3 is just 2/3*2/3*2/3 which is 2/3*2/3=4/9 then 4/9*2/3=8/27
So your answer is 8/27
2x - 4(x-4) = -2 + 3x + 3
2x - 4x + 16 = 3x + 1
-2x + 16 = 3x + 1
5x = 15
x = 3
Angle CFE is an alternate interior angle with angle FCD
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>
Largest 4 digit number =9999
Smallest 3 digit number= 100
So the product of 9999 x 100 = 999,900