Angles formed by the segment
in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.
- The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>
Reasons:
The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;
Segment
is perpendicular to segment 
∠WZX and ∠XZY are right angles by definition of
perpendicular to 
∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)


Therefore;
, which gives, 
Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and
that the included angles between the two sides, ∠WZX and ∠XZY are
congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-
Side, SAS, similarity postulate.
The option that best completes the proof is therefore;
which is; <u>16 over 12 equals 12 over 9</u>
Learn more about the SAS similarity postulate here:
brainly.com/question/11923416
Answer C. base side length = 30.6 cm, height = 27.3 cm
Answer:
w = -4
Step-by-step explanation:
-11w + 7 + 10w = 19 + 2w
-1w + 7 = 19 + 2w
-1w + 1w + 7 = 19 + 2w + 1w
7 = 19 + 3w
7 - 19 = 19 - 19 + 3w
-12 = 3w

-4 = w
7x - (3x + 7)....not simplified
7x - 3x - 7 =
4x - 7....simplified