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Aleonysh [2.5K]
2 years ago
8

Quadrilateral WXYZ has the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0).

Mathematics
1 answer:
AnnZ [28]2 years ago
7 0

The length of side WX in Quadrilateral WXYZ is 3b units.

<h3>Coordinate plane</h3>

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Given the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0). The length of WX is:

WX=\sqrt{(b-b)^2+(4b-b)^2}=3b

The length of side WX in Quadrilateral WXYZ is 3b units.

Find out more on coordinate plane at: brainly.com/question/26100648

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If Bryson had 1/4 of g pie, and he wanted to split il
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Answer:

1/16

Step-by-step explanation:

Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16

6 0
3 years ago
The mystery number is a four-digit number. Its digits are 5, 4, 7, and 3. The 5 and the 7 are the two middle digits.The 5 comes
Flura [38]
4753 seems to me like the right one
7 0
3 years ago
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Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at
Oksanka [162]

a) The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively.

b) The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

P'(x,y) = k\cdot P(x,y) (1)

Where:

  • P(x,y) - Original point
  • P'(x,y) - Dilated point.

If we know that k = \frac{1}{3}, A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3), then the new points of the quadrilateral are:

A'(x,y) = \frac{1}{3}\cdot (0,6)

A'(x,y) = (0, 2)

B'(x,y) = \frac{1}{3} \cdot (-3,-6)

B'(x,y) = (-1, -2)

C'(x,y) = \frac{1}{3}\cdot (-9,-6)

C'(x,y) = \left(-3,-2\right)

D'(x,y) = \frac{1}{3}\cdot (-12,-3)

D'(x,y) = (-4, -1)

The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively. \blacksquare

b) A translation along a vector is defined by following operation:

P'(x,y) = P(x,y) +T(x,y) (2)

Where T(x,y) is the transformation vector.

If we know that T(x,y) = (-5,-1), A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3),

A'(x,y) = (0,6) + (-5, -1)

A'(x,y) = (-5, 5)

B'(x,y) = (-3, -6) + (-5, -1)

B'(x,y) = (-8,-7)

C'(x,y) = (-9, -6) + (-5, -1)

C'(x,y) = (-13, -7)

D'(x,y) = (-12,-3)+(-5,-1)

D'(x,y) = (-17, -4)

The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively. \blacksquare

To learn more on transformation rules, we kindly invite to check this verified question: brainly.com/question/4801277

7 0
2 years ago
Consider the circle with a radius of 30 cm. What is the approximate circumference of the circle? (use 3.14 as an approximation o
Goshia [24]

Answer: 188.4 cm

Step-by-step explanation:

Given

the radius of the circle is r=30\ cm

Also, circumference is given by P=2\pi r

Putting values

\Rightarrow P=2\times 3.14 \times 30=188.4\ cm

The circumference of the circle is 188.4\ cm

8 0
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At the Barclays Center there are 850 seats. Tickets were sold for 816 of the seats. For what percentage of the seats were ticket
snow_tiger [21]
Percent sold=sold/original times 100
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