1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.

Solution :

Given that the Centre is signing up for a rental game service online rather than buying the game.

The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.

Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :

175 - 8m ≥ 99

175 - 8m - 99 ≥ 99 - 99    (Subtracting 99 from both side of the inequality)

76 - 8m ≥ 0      (Simplify)

76 - 8m -76 ≥ 0 - 76      (Subtracting 76 from both side of the inequality)

- 8m ≥  - 76 (Simplify)

 8m ≥   76   (removing the minus sign form both sides)

      (Divide each side of the inequality by 8)

 m  ≥ 9.5

y=mx+

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it