D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.
C
is wrong as well. The triangles might be similar, but they are more. They are congruent.
B
You don't have to prove that. It is given on the way the diagram is marked.
A
A is your answer. The two triangles are congruent by SAS
So basically 5 x 1/4 would equal 1 1/4 ( One, One Fourth )
The question is incomplete. The complete question is :
Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.
Solution :
Given :
Drugs Placebo
Headaches 11 7
No headaches 73 91
The results of the test are :

The P value is given as = 0.1799
The hypothesis test given for dependent or association between the two variables.
: There is no association between the treatment and the reaction
: There is association between the treatment and the reaction.
If the P value is greater than the alpha value, i.e. when
P value > α (0.05), then we reject the
.
Therefore, Do not
. Report that
evidence to conclude that
as well as
.
To find the value of 1, you would find what place it is in. It is in the 100,000 place.
Next, you would make all the numbers after it 0. 100,000.
The value of 1 is 100,000.
Answer:
21
Step-by-step explanation (note, the suggested way is not the shortest one):
all the details are in the attached picture.