△ABC≅△DEF, BC=4x−12, and EF=−3x+16. Find x and EF. x = -2 and EF = 22 x = 5 and EF = 8 x = 4 and EF = 4 x = 6 and EF = 12

x = 4 and EF = 4 ⇒ 3rd answerStep-by-step explanation:If two triangles are congruent, then1. Their corresponding sides are equal2. Their corresponding angles are equal3. Their areas and perimeters are equal∵ △ ABC ≅ △ DEF∴ AB ≅ DE ∴ BC ≅ EF∴ AC ≅ DF∵ BC = 4 x - 12∵ EF = -3 x + 16∵ BC = EF∴ 4 x - 12 = -3 x + 16Let us solve the equation to find x∵ 4 x - 12 = -3 x + 16- Add 3 x for both sides∴ 7 x - 12 = 16- Add 12 to both sides∴ 7 x = 28- Divide both sides by 7∴ x = 4Substitute the value of x in the expression of EF∵ EF = -3 x + 16∵ x = 4∴ EF = -3(4) + 16 = -12 + 16∴ EF = 4x = 4 and EF = 4Learn more:You can learn more about congruence of Δs in brainly.com/question/3202836#LearnwithBrainly