Isosceles EFG is shown, where FA is an angle bisector. H
Drag statements and reasons to the table to complete the proof that the base angles of the isosceles triangle are
congruent.
Statements
1. FG - EF and FA bisects CEFG.
2. GFH LEFH
3.
4.
5. LEG
Reasons
1. Given
2. Definition of an angle bisector
3. Reflective property
5. Corresponding angles of congruent
triangles are congruent.
FA FR
EGEG
Transitive property
Substitution
ΔGFHA ΔEFH
ZGFH LEFH
Reflexive property
FHG AFHE
SAS theorem
SSS theorem
AA theorem

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

answer: youre the sweetest thing for that

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.