( WILL GIVE BRAINLY) (20 POINTS) Tonya and Pearl each completed a separate proof to show that alternate interior angles AKL and
FLK are congruent. Who completed the proof incorrectly? Explain. (10 points)
Tonya's Proof
Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem
3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem
4. angle AKL is congruent to angle FLK 4. Transitive Property
Pearl's Proof
Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKL is congruent to angle GKB 2. Definition of Adjacent Angles
3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem
4. angle AKL is congruent to angle FLK 4. Transitive Property
Tonya's Proof
Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem
3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem
4. angle AKL is congruent to angle FLK 4. Transitive Property
Pearl's Proof
Statement Justification
1. line AB ∥ line EF with transversal segment GJ 1. Given
2. angle AKL is congruent to angle GKB 2. Definition of Adjacent Angles
3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem
4. angle AKL is congruent to angle FLK 4. Transitive Property
1 answer:
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Answer:
Step-by-step explanation:
We are given the expression
This means that we are looking for two numbers that would add together to give us 12 and multiply to give us 27.
The two numbers that fit this description are 3 and 9.
This means that the factored form of the expression would be