The congruence theorem that proves that △LON ≅ △LMN is: A. SSS congruence theorem
<h3>What is the SSS Congruence Theorem?</h3>
According to the SSS congruence theorem, if all three corresponding sides of two triangles are congruent, then both triangles are congruent.
In the image given, we have:
- ON ≅ MN
- LO ≅ LM
- LN ≅ LN (reflexive property)
This means all three corresponding sides are congruent, therefore, the congruence theorem that proves both triangles are congruent is:
A. SSS.
Learn more about the SSS congruence theorem on:
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<span>-(x + 5) = 5
-x - 5 = 5
-x = 5 + 5
-x = 10
x = -10</span>
Empirical data are gathered from experiments. This does not hold true for all species at all times. But the only way to know a certain datum for a certain specie at a certain situation, you do an experiment. However, theoretical data is more on the theory or concept of the situation. It formulates a general equation that could as much as possible hold true to all.
Therefore, this data is empirical.
The answer is A.
(f/g)(8)=f(8)/g(8)
find f(8) and g(8) to mke it easier
f(8)=3-(8)=3-2(8)=3-16=-13
g(8)=1/(5+8)=1/13
so (f/g)(8)=-13/(1/13)=-13*13=-169
answer is -169
Answers:
Q: What is the most they could weigh together?
A: 0.74 kg
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Q: What is the least they could weigh together?
A: 0.62 kg
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Work Shown:
x = weight of first ball
y = weight of second ball
each ball has a weight range of 0.31 kg to 0.37 kg, so,
add straight down to get
which simplifies to
the two soccer balls have a weight range of 0.62 to 0.74, inclusive of both endpoints.
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Without using algebra, you basically just add the smallest the two weights could be (0.31) to itself to get 0.31+0.31 = 0.62 which represents the smallest the two weights combined can be. The same happens with the largest weight of 0.37 to get 0.37+0.37 = 0.74 as the max weight of both objects together.
