Abaseball team has 30 players. they need to make cuts so that there are at most 25 baseball players on the team. write and solve an inequality to find the number of players that must must be cut from the team

X >=5

Step-by-step explanation:

Let X be the number of players they will cut from the team. So, as the team has already 30 players and will cut X, we can write the amount of players that will remain in the team as:

30 - X -> This is, we subtract X players from 30.

Now, we need the amount of remaining players to be  at most 25. Notice that in this case there can be 25 or a little amount. So, the remaining players must be equal yo 25 or less. Analytically:

30 - X <= 25

And then we can solve this inequality by first summing X at both sides:

30 -X + X<= 25 + X

30 <= 25 + X

Now, we subtract 25 from both sides:

30 - 25 <= 25 + X - 25

5 <= X

So, is necessary to cut 5 players or more

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4