The answers are written but I am not sure how they got them. Can someone please explain it to me? Thank you! (Worth 50 points :))

x = 2.4

I'm not sure how the answer is 4.5 but I'm pretty sure this is right unless I'm missing something

Step-by-step explanation:

So we need to find how much shorter is the short line compared to the longer one. Basically we need a scale factor, for this we can use the side lengths already given to us, 10 and 15. So u can choose either enlarge the short line or shorten the longer one.

If u want to enlarge the short line then do 15/10 which is 3/2 which u will then multiply the shorter line's equation with it, if u want to shorten the longer line then do 10/15 which is 2/3 and multiply the longer lines equation with it.

I'll be using the 3/2 one cause why not:

3/2(x + 6) = 4x + 3

3/2x + 18/2 = 4x + 3

multiply the entire equation with 2 to make 3/2 no longer a fraction

(3/2x + 18/2 = 4x + 3)2

6/2x + 18 = 8x + 6

3x + 18 = 8x + 6

subtract 18 from both sides

3x = 8x - 12

subtract 8x from both sides

-5x = - 12

divide -5 from both sides

x = 2.4

U can input x into the equation to check:

3/2(2.4 + 6) = 4(2.4) + 3

12.6 = 12.6, it's right

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|