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WITCHER [35]
3 years ago
10

In quadrilateral DBCA, name the angles which are consecutive with angle D.

Mathematics
2 answers:
oee [108]3 years ago
4 0

<u>Answer:</u>

Angle A and angle B.

<u>Step-by-step explanation:</u>

A quadrilateral is a polygon with four sides or say four vertices.

If we have a quadrilateral DBCA, we can say that the angles which are consecutive with angle D are angle A and angle B.

The reason being, in simple words, that angle B or vertex B is adjacent to angle D.

Moreover, when a quadrilateral DBCA is formed, the side D is again going to be adjacent to side A so angle A will also be consecutive to angle D.

lisov135 [29]3 years ago
3 0

Answer: The consecutive angles with angle D are B and A.

Explanation:

It is given that DBCA is a quadrilateral. Since it is a quadrilateral it means the have 4 vertices and 4 angles D, B,C,A.

The angles are formed in the order of the figure name. If the quadrilateral name is DBCA, So the order of the angles are D,B,C,A. It means the angle immediate after D is B, the angle immediate after B is C, the angle immediate after C is A and the angle immediate after A is D.

If the quadrilateral name is DBCA it means the sides are DB, BC, CA and AD as shown in the figure.

Consecutive angles of D means the angle immediate before and after the angle D.

In the figure there are some types of quadrilateral and from the figure we can easily noticed that the consecutive angles with angle D are B and A.

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2.56

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The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
Murrr4er [49]

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Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

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2 years ago
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