On a map the distance between two mountains is 5 1/2 inches. the actual distance between the mountain is 136 miles. russ is camped at a location that is 3/4 inch from the base of the mountain. how many miles is be from the base of the mountain?

136 /5.5 = 24.73 so every 1 inch on the map is around 24.73 miles

24.73 * 0.75 = 18.55

 he is about 18 1/2 miles away

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.

14

step-by-step explanation:

14 x 3 = 42