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. The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.

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

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's Proof

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's ProofStatement Justification

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's ProofStatement Justification1. line AB ∥ line EF with transversal segment GJ 1. Given

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's ProofStatement Justification1. line AB ∥ line EF with transversal segment GJ 1. Given2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's ProofStatement Justification1. line AB ∥ line EF with transversal segment GJ 1. Given2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's ProofStatement Justification1. line AB ∥ line EF with transversal segment GJ 1. Given2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem4. angle AKL is congruent to angle FLK 4. Transitive Property

proof to show that alternate interior angles AKL and FLK are congruent. Who completed the proof incorrectly? Explain.The picture description: Line AB is parallel to EF, transversal GJ crosses line AB at K and crosses line EF at L.Tonya's ProofStatement Justification1. line AB ∥ line EF with transversal segment GJ 1. Given2. angle AKL is congruent to angle GKB 2. Vertical Angles Theorem3. angle GKB is congruent to angle FLK 3. Corresponding Angles Theorem4. angle AKL is congruent to angle FLK 4. Transitive PropertyPearl's Proof

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answer: 177/8

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .