Z\10 = -12 solve for z
2 answers:
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Answer:
8 square units and square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor then
2. Triangles ABC and DBE are similar with scale factor then
3. Thus, the area of the quadrilateral DFGE is
and the area of the quadrilateral ADEC is
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Step-by-step explanation:
If (x , y) is the mid-point of a segment whose end points are and
then,
In a parallelogram, its diagonals intersect each other at their mid-points
that means its diagonals bisect each other
∵ HIJK is a quadrilateral
∵ HJ and IK are its diagonals
∵ H = (-2 , 2)
∵ J = (4 , -2)
- Find the mid point of HJ
∵
∴
∴
∴ The mid-point of HJ is (1 , 0)
∵ I = (4 , 3)
∵ K = (-2 , -3)
- Find the mid point of IK
∵
∴
∴
∴ The mid-point of IK is (1 , 0)
∵ The mid-points of HJ and IK are equal
∴ HJ and IK bisects each other
∴ HIJK is a parallelogram because its diagonals bisect each other
HIJK is a parallelogram because the midpoint of both diagonals is
(1 , 0), which means the diagonals bisect each other
Learn more:
You can learn more about parallelogram in brainly.com/question/6779145
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