ef=2x-15, fg=3x-15,eg=23 find the values of x,ef and fg
Draw the line out. It'll help you visualize the relationship between each length.
e---g
As you can see above, ef+fg=eg, so you'll have (2x-15)+(3x-15)=23
solve for x, and plug it back into ef=2x-15 and fg=3x-15 to solve for ef and fg.
3x=15
To find the values of x, ef, and fg, we can use the given information and solve the equations.
Given:
ef = 2x - 15
fg = 3x - 15
eg = 23
To find x, we can use the equation for eg and substitute ef and fg into it.
eg = ef + fg
Substituting the given values:
23 = 2x - 15 + 3x - 15
Combine like terms:
23 = 5x - 30
Add 30 to both sides:
23 + 30 = 5x - 30 + 30
53 = 5x
Divide both sides by 5:
53/5 = 5x/5
x = 10.6
Now that we have the value of x, we can substitute it back into the equations for ef and fg to find their values.
ef = 2x - 15
Substituting x = 10.6:
ef = 2(10.6) - 15
ef = 21.2 - 15
ef = 6.2
fg = 3x - 15
Substituting x = 10.6:
fg = 3(10.6) - 15
fg = 31.8 - 15
fg = 16.8
Therefore, the values of x, ef, and fg are:
x = 10.6
ef = 6.2
fg = 16.8