Question

Can you answer the question number 8 ( it’s not algebra ) it’s geometry

Answer 1

To better understand the problem, let's make an illustration based on the information given.

Since F is the midpoint of segment EG, then the measure of EF is half the measure of EG.

`6x+7=(1)/(2)(18x-4)`

From this, we can solve for x.

a. Multiply 1/2 by the terms inside the parenthesis.

`6x+7=9x-2`

b. Subtract 6x on both sides of the equation.

`6x-6x+7=9x-6x-2`
`7=3x-2`

c. Add 2 on both sides of the equation.

`7+2=3x-2+2`
`9=3x`

d. Lastly, divide both sides of the equation by 3 to isolate the variable x.

`(9)/(3)=(3x)/(3)`
`3=x`

Answer:

Therefore, the value of x is 3.