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dmitriy555 [2]
3 years ago
5

Four squares ABCD, EFGH, IJKL, and MNOP are constructed such that points E, F, G, H are middle points (midpoints) of the sides o

f square ABCD. Points I, J, K, L are midpoints of the square EFGH. M, N, O, and P are midpoints of the square IJKL. What is the area of the square ABCD, if OP=2 cm?
Mathematics
2 answers:
AURORKA [14]3 years ago
7 0

By definition, the area of the parallelogram is given by:

A = b * h

Where,

b: base

h: height

We have then:

ABCD parallelogram:

A = (3) * (3)

A = 9 units ^ 2

EFGH parallelogram:

A = (3) * (3)

A = 9 units ^ 2

Answer:

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.

DerKrebs [107]3 years ago
5 0

Answer:

The sum of interior angles of a polygon of n sides is (n-2) straight ... A rhombus is a parallelogram in which adjacent sides are equal.

Step-by-step explanation:

shaded area =0.8cm2. Explanation: enter image source here. Given 3CG=2GF,⇒CG:GF=2:3,⇒CG:CF=2:5 ⇒CG=25CF.

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Ostrovityanka [42]

Answer:

The equation of this line would be y = 11x - 48

Step-by-step explanation:

To get this equation, we first have to find the slope. We do that with the slope eqaution.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - 7)/(4 - 5)

m = -11/-1

m = 11

Now we can use this slope and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 7 = 11(x - 5)

y - 7 = 11x - 55

y = 11x - 48

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E is the midpoint of DF, DE = 2x + 4, and EF = 3x + 1. Find DE, EF, and DF.
Agata [3.3K]
When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
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Then solve for x.
x=3
Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
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Hope this helps.
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