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
In geologic time scale a single second = 52,083.3 years, a minute = 3,125,000 years, an hour = 187.5 million years
Geologic time, the extensive interval of time occupied by the geologic history of Earth. Formal geologic time begins at the start of the Archean Eon (4.0 billion to 2.5 billion years ago) and continues to the present day.
So the geologic time scale (GTS) contains different ranks of times about Earth, obviously you know this already. However, the GTS has these different ranks in order from shortest length of time to longest length of time.
The Earth is about 4.5 billion years old. We want to convert this geological time in a period of 24 hours. So, if 24 hours correspond to 4.5 billion years, then, 1 Hour= 4.5 billion / 24=187.5 million years. There are 60 minutes in an hour ∴ 1 minute =187.5 million /60=3,125,000 years finally, one second has 60 seconds ∴ 1 second=3,125,000 / 60 = 52,083.3 year.
learn more about geologic time here:
brainly.com/question/22502144
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Answer:
1. You can tell because every y value divided by its corresponding 3 value is 1/3, except 0 because 0 divided by 0 is 0.
2. Samuel is incorrect because when his sister's age is divided by his age, it differs every year.
(Example: 5/10 ≠ 10/15)
Answer:
x = 31
Step-by-step explanation:
Given:
MN = 20
PQ = x
RS = 42
Required:
Value of x
SOLUTION:
In a trapezoid, the midsegment length equals the sum of both bases divided by 2
This implies that:
PQ = ½(MN + RS)
Plug in the values
x = ½(20 + 42)
x = ½(62)
x = 31
