Question

Solve for X EF=6x+10 FG=2x+15 EG=129

Answer 1

Explanation:

To solve for x in this situation, you can use the information given about the lengths of segments EF, FG, and EG. The segments EF, FG, and EG form a straight line, so their lengths must add up to 129 (since EG is given as 129).

So, you can write the equation:

EF + FG = EG

Substitute the expressions for EF and FG:

(6x + 10) + (2x + 15) = 129

Now, combine like terms:

8x + 25 = 129

Next, subtract 25 from both sides to isolate the term with x:

8x = 129 - 25

8x = 104

Now, divide both sides by 8 to solve for x:

x = 104 / 8

x = 13

So, the value of x is 13.