Answer:
The approximate perimeter of the parallelogram is 20.63 units
<em>(or 21 units if rounded up completely)</em>
Step-by-step explanation:
In principle we know that the Perimeter of a Parallelogram is given by:
Eqn. (1)
<em>where 
is the Perimeter, 
is the width and 
is the length of the parallelogram. We also know that since we have a Parallelogram rectangle it means that the two widths will be of equal size and the two lengths will also be of equal size. </em>
Now lets call each point as:
Eqn. (2)
then we have a Parallelogram ABCD where AB and CD can be our widths and BD and DA can be the lengths (or vice versa).
Since we know the vertices, we can compute each side of the parallelogram (i.e. AB, BC, CD and DA) using the distance formula that in principle reads:
Eqn. (3)
Thus using the values from Eqn. (2) and the formula of Eqn. (3) for each side we have:
Which proves that since 
and 
our calculations are correct and ABCD is in fact a parallelogram. So now we have all sides, and recalling Eqn. (1) and plugging in our values (where we can say 
and 
we have:
units
<em>which can be rounded up as ≅
units or ≅
. </em>
ANSWER
C. 35 men
EXPLANATION
Let m represent the number of men needed and d represent the number of days.
From the question,the number of men needed varies inversely to the time needed to complete the project.
We can write the inverse variation equation.
where k is the constant of variation.
When m=28, d =90.
We substitute these values into the variation equation to determine the value of k.
Now the equation becomes:
When d=72,
Therefore he needs to have 35 men working.
Step-by-step explanation:
The given measurements are:
16 m, 21 m, 39 m
We know that, it is only possible to form a triangle if sum of the measures of any two lengths is always grater than the measure of third length.
Therefore, it is not possible to form a triangle with given measurements.
Answer:
The values of x = y = z = 1
Step-by-step explanation:
Given three linear equation as ,
x + 2y + z = 4 .......a
4y - 3z = 1 .......b
y + 5z = 6 ........c
Now solve eq a and b first
4y - 3z = 1 × 5
y + 5z = 6 × 3
Or, 20y - 15z = 5
3 y + 15z = 18
so ,(20y - 15) + (3y +15 ) = 5 +18
or, 23 y = 23
∴ y = 1
Now put this y value in eq c
so , 1 + 5z = 6 ,
Or, 5z = 6-1 =5
∴ z = 1
Again put this y and z value in eq a
so, x + 2(1) + (1) = 4
Or, x = 4 -3
∴ x = 1
Hence from the above solutions , the value of x = y =z = 1 Answer
X + y = 6
when x = -15
-15 + y = 6
y = 6 + 15
y = 21.....solution is (-15,21)
when x = -6
-6 + y = 6
y = 6 + 6
y = 12...solution (-6,12)
when x = -1
-1 + y = 6
y = 6 + 1
y = 7...solution is (-1,7)
so ur answer is : (-15,21) , (-6,12) , (-1,7)
