Answer:
4
Step-by-step explanation:
Factor of 8n = 2x2x2n
Factor of 12m = 2x2x3m
GCF = 2x2 = 4
The statements and reasons for the proof are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
<h3>What is the CPCTC and ASA Congruence Theorem?</h3>
When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
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Answer:I DON'T KNOW
Step-by-step explanation:
Option D:
The expression equivalent to the given expression is 25.
Solution:
The image of the question is attached below.
Given expression:
To find which expression is equivalent to the given expression:
125 can be written as 5 × 5 × 5 = 5³
Using the exponent rule: 
Using the exponent rule: 
= 5²
= 25
The expression equivalent to the given expression is 25.
Option D is the correct answer.
