Question

1. the incenter of $\triangle abc$ is point $n$, $nz = 4x - 10$, and $ny = 3x - 1$. find $nw$.

Explanation:

Step1: Set distances equal (incenter property)

$4x - 10 = 3x - 1$

Step2: Solve for $x$

$4x - 3x = -1 + 10$
$x = 9$

Step3: Calculate $NW$ (equal to $NZ$)

$NW = 4(9) - 10$
$NW = 36 - 10$

Answer:

$26$