Question

Question is the image below

Answer 1

Since we have

$\overline{AB}+\overline{BC}=\overline{AC}$

let's plug the value for each segment measure in the formula:

$5x + 11x-5 = 75$

The left hand side evaluates to

$16x-5 = 75$

Add 5 to both sides:

$16x = 80$

Divide both sides by 16:

$x = \dfrac{80}{16} = 5$

Now that we know the value for x, we can plug it in the expressions for both segments:

$\overline{AB} = 5x=5\cdot 5 = 25$

$\overline{BC} = 11x-5=11\cdot 5-5 = 55-5=50$