The expression (x2 + 16x + 64) – (x + 8)(x – 4) can be rewritten as k(x + 8). what is the value of k? k =

<P ≅ <S

Step-by-step explanation:

Given: <N = , NP = 8,

           <Q = , QS = 8

Prove: ΔNOP ≅ ΔQRS by ASA

ASA implies Angle-Side-Angle; which is a congruent relation property of two triangles. This means that any two given triangles are congruent; if two angles and an included side are the same.

Since the side must be an included one (i.e between two given angles), then an additional information to prove that ΔNOP ≅ ΔQRS by ASA is;

<P ≅ <S