Question

Let AC=16,AB = x+7. What is the Measure of the length of AB?

Answer 1

we are give the line AC = 16, such that

$AB\text{ = x + 1 and BC = x + 7}$

This implies

$AC\text{ = AB + BC}$

Therefore

$\begin{gathered} 16\text{ = (x + 1) + (x + 7)} \\ 16\text{ = x + 1 + x + 7} \\ 16\text{ = 2x + 8} \\ 16\text{ - 8 = 2x } \\ 8\text{ = 2x} \\ \text{divide both sides by 2} \\ x\text{ = }\frac{8}{2} \\ x\text{ = 4} \end{gathered}$

Now we need to find the measure of length AB

$\begin{gathered} \vec{AB}\text{ = x + 1} \\ \text{but x = 4} \\ \vec{AB}\text{ = 4 + 1} \\ \vec{AB}\text{ = 5} \end{gathered}$

Therefore

The measure of the length AB is 5