If EF=3x-10, FG=2x-15 and EG=20, find the value of x, EF and FG.
EG = EF+FG
20 = 3x-10 + 2x-15
20 = 5x - 25
5x = 45
x=9
you should be able to get EF and FG now.
EF = 7x + 9
FG = 3x + 4
EG = 143
To find the value of x, EF, and FG, we'll start by solving for x.
Given:
EF = 3x - 10
FG = 2x - 15
EG = 20
Since EF + FG = EG (according to the triangle inequality), we can set up the following equation:
(3x - 10) + (2x - 15) = 20
Now, let's solve for x:
3x - 10 + 2x - 15 = 20
5x - 25 = 20
5x = 20 + 25
5x = 45
x = 45/5
x = 9
Now that we have found x, we can substitute it back into the original equations to find EF and FG.
EF = 3x - 10
EF = 3(9) - 10
EF = 27 - 10
EF = 17
FG = 2x - 15
FG = 2(9) - 15
FG = 18 - 15
FG = 3
Therefore, the value of x is 9, EF is 17, and FG is 3.
To find the value of x, EF, and FG, we need to use the given information.
We know that EF = 3x - 10, FG = 2x - 15, and EG = 20.
Since EG is the sum of EF and FG (EG = EF + FG), we can set up an equation:
20 = (3x - 10) + (2x - 15)
Now we can solve for x:
20 = 3x - 10 + 2x - 15
20 + 10 + 15 = 3x + 2x
45 = 5x
To isolate x, divide both sides of the equation by 5:
45 / 5 = x
9 = x
Therefore, the value of x is 9.
Now, we can find the values of EF and FG by substituting x = 9 into the equations:
EF = 3x - 10
EF = 3 * 9 - 10
EF = 27 - 10
EF = 17
FG = 2x - 15
FG = 2 * 9 - 15
FG = 18 - 15
FG = 3
So, the value of EF is 17, and the value of FG is 3.