Question

1. if kc = 31, what is kn?

o 43
o 62
o 74
o 82

Explanation:

Step1: Set up equation for KC

Since $KC = 2x + 10$ and $KC=31$, we set up the equation $2x + 10=31$.
$2x+10 = 31$
$2x=31 - 10$
$2x = 21$
$x=\frac{21}{2}$

Step2: Find CN

Substitute $x = \frac{21}{2}$ into the expression for $CN=4x + 1$.
$CN=4\times\frac{21}{2}+1$
$CN = 42 + 1=43$

Step3: Calculate KN

Since $KN=KC + CN$, and $KC = 31$ and $CN = 43$.
$KN=31+43=74$

Answer:

74