Answer:

m∠N=
m∠O=
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
so
In this problem
m∠M=m∠O
m∠L=m∠N
m∠M+m∠N=
-------> by supplementary angles
substitute the values and solve for x



so
Statements
<u>case A)</u> 
The statement is true ------> see the procedure
<u>case B)</u> m∠L=
The statement is False
we know that
opposite angles are congruent
so
m∠L=m∠N
m∠L=
<u>case C)</u> m∠M=
The statement is False
we know that
m∠M=
<u>case D)</u> m∠N=
The statement is True
we know that
m∠N=
<u>case E)</u> m∠O=
The statement is True
we know that
opposite angles are congruent
so
m∠O=m∠M
m∠O=
Answer:
2.7
Step-by-step explanation:
4a=20⇒a=5
we know diagonals are perpendicular. if u look at one of the right triangles, you can see that for hypotenuse to be 5, the legs have to be 4 and 3 to satisfy the given ratio 4:3.
so, diagonals are 8 and 6 as we know that diagonals bisect each other.
Area=8*6/2=24
Answer:
Step-by-step explanation:
Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.
The correlation is r = 0.9
If you had measured tail length in centimeters instead of millimeters, what would be the correlation?
For this we must understand the meaning of correlation and formula
Correlation is a measure of linear association between the two variables and always lie between -1 and 1
This is got by dividing covariance of (x,y) by product of std deviation of x and y
So because we changed the units of length correlation coefficient would not change.
It would remain the same as 0.90
V=1/3*πr² *h,
raduus r=32/2=16
V=1/3*3.14*(16)² *18=6*3.14*(16)² =4823.04