Question

point m is the midpoint of segment fg. find the value of x.
f m g
5x+13 5 - 3x
answer attempt 2 out of 2
additional solution no solution
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Explanation:

Step1: Use mid - point property

Since M is the mid - point of FG, then FM = MG. So we set up the equation $5x + 13=5 - 3x$.

Step2: Isolate x terms

Add 3x to both sides of the equation: $5x+3x + 13=5-3x + 3x$, which simplifies to $8x+13 = 5$.

Step3: Isolate the constant term

Subtract 13 from both sides: $8x+13 - 13=5 - 13$, resulting in $8x=-8$.

Step4: Solve for x

Divide both sides by 8: $\frac{8x}{8}=\frac{-8}{8}$, so $x=-1$.

Answer:

$x = - 1$