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. 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

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?