The cost of 150 feet of wire is $19.20. how much would 45 feet cost?

We are given cost of 150 feet wire = $19.20.

Let us find cost of 1 foot of wire.

In order to find the cost of 1 foot of wire, we need to divide cost of 150 feet wire by 150, that is 19.20/150.

On dividing 19.20 by 150, we get  $0.128.

Therefore, cost of 1 foot of wire = $0.128.

Now, we need to find cost of 45 feet wire.

In order to find the cost of 45 feet wire, we need to multiply 45 the unit cost of wire, that is $0.128.

Therefore, cost of 45 feet wire = 45 × 0.128 = $5.76.

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.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length