The ratio of points scored by 3 boys in a game is 7: 10: 12. if the sum of their scores is 232, what was the highest score?

96 points

Step-by-step explanation:

Ratio problems can be solved like this:

Let x equal an unknown value.

Now, we can write an equation.

7x + 10x +12x = 232

We want to find 12x, so we have to find x first. We can simplify our equation to:

29x = 232

Now, divide both sides by 29.

x=8

We then solve for 12x by multiplying 8 and 12, and get 96 points.

y=x+9

?

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.