What is this expression in simplest form? 4w/w-2 + 3w/w-3

7 - 3w

Step-by-step explanation:

4w/w-2 + 3w/w-3 is our equation

Well lets start by simplifying the two fractions

4w/w-2 -> 4w/w - 4w/2  

4 - 2w  

Now lets do 3w/w-3

3w/w-3 ->   3w/w   and 3w/-3

3 -w is our answer

4-2w + 3 -w

7 - 3w is the simplest form

Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency

Step-by-step explanation:

The given

Statement                                              Reason

PQR is a triangle                                  Given

XYZR is a parallelogram                      Given

X is the midpoint of RP                        Given

Y  is the midpoint of PQ                        Given

Z  is the midpoint of QR                        Given

Therefore;

QY = YP, Definition of midpoint

XY is parallel to QR, and YZ  is parallel to  RP Midpoint theorem

Therefore, ∠PYX ≅ ∠PQR and ∠QZY ≅ ∠YXP Corresponding angles of parallel lines

From which we have;

Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency.