WILL GIVE BRAINLIEST !!Quadrilateral ABCD has vertices at A(3,−2), B(4,3), C(−2,0), and D(−3,−5). Which answers prove that quadrilateral ABCD is a parallelogram?
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A) line AB ∥ line DC and line AD∥ line BC

B) ∠A is supplementary to ∠B; ∠A≅∠C

C) slope of line AD =slope of line BC ; line AD ≅ line BC

D) Line AD≅ line BC≅ line CD

E) slope of line AB =slope of line DC ; line AD ≅ line BC

In the following situation, determine whether you are asked to determine the number of permutations or combinations. then do the calculation how many ways are there to pick a starting five from a basketball team of twelve members? a. permutation; ps - 2520 b. combination; 1c, - 792 c. combination: 2cs - 2520 d. permutation; ps - 95040

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

What is the slope of the line shown below?