Tyler needs at least $205 or a new video game system. He already saved $30. He earns $7 an hour at his job. Write an solve an inequality to find out how many hours he will need to work to buy the system. Interprterpret the solution

25hours

Step-by-step explanation:

He already has $30

So, $205-$30=$175

So we are looking for how many hours he will work to get $175

:175÷7

=25. Therefore he will need to work for 25hours to get 175. Then he will add 175 to 30 and get 205

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.