Captain Gabriela has a ship, the H. M.S. Khan. The ship is two furlongs from the dread pirate Daniel and his merciless band of thieves.
The Captain has probability
1
2
2
1

start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability
1
5
5
1

start fraction, 1, divided by, 5, end fraction.
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

If "start fraction, 1, divided by, 2, end fraction" means 1/2 and "start fraction, 1, divided by, 5, end fraction" means 1/5, then to find the probability of both happening, multiply 1/2 and 1/5.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70