Answer:
The area of the smallest section is 
The area of the largest section is 
The area of the remaining section is 
Step-by-step explanation:
Please see the picture below.
1. First we are going to name the side of the larger square as x.
As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:
- Area of the first section:


- Area of the second section:
(Eq.1)
- Area of the third section:

(Eq.2)
2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

Replacing values:

Solving for x:





3. Replacing the value of x in Eq.1 and Eq.2:
- From Eq.1:


- From Eq.2:


Answer:
C. 92 degrees
Step-by-step explanation:
Given that the
92° which is one of the angles of the quadrilateral WXYZ
The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.
The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.
So,
By using the given value,
92°
Hence, option (C) is correct.
Answer:
(15,-14)
Step-by-step explanation:
Given that,
The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).
Let (x,y) be the coordinates of point G. Using mid point formula,

So, the coordinates of G are (15,-14).
Answer:
x=2 y=7
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Whatever you do to one side, you have to do to the other.
Try to get all the x values and regular values together.
To do that, just subtract both sides by 6x to cancel it out on one side and subtract it from the other side:
6x-6x+32=-2x-6x
=
32=-8x
now divide both sides by -8 to get the x by itself
32/-8=-8/-8x
= 32/-8=x
-4=x
so your answer is: x= -4