Answer:
Using the charasteristics of a parallelogram, the length of line segment MX is 8 in (Third option).
Step-by-step explanation:
In parallelogram WXYZ:
WY=12 in., this is a diagonal in the parallelogram
XZ=16 in., this is the other diagonal in the parallelogram
WX=10 in., this is one of the sides of the parallelogram
XY=9 in., this is the other side of the parallelogram
MX=? this segment is between the vertex X and the point of intersection of the diagonals
In a parallelogram the diagonals intersect (point M) dividing them in equal parts each other, then:
MX=MZ=XZ/2
MX=MZ=(16 in.)/2
MX=MZ=8 in.
The length of each side can be found using pythagoras theorem:-
11.3^2 = 2x^2 where x = length od each side
x = sqrt( [11.3^2 / 2)
x = 7.99 meters
We have the expression:
3x(x-12x) + 3x^2 - 2(x-2)^2
First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)
Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8
Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8
We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
