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erastova [34]
2 years ago
8

What is the scale factor of the dilation?

Mathematics
2 answers:
VLD [36.1K]2 years ago
6 0
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

The scale factor k can be obtained from any one of the ratios:
scale\, factor\, =\, k\, = \frac{OD'}{OD}=\frac{OE'}{OE}=\frac{OF'}{OF}=\frac{OG'}{OG}=\frac{1}{2}
Tems11 [23]2 years ago
6 0

Answer:

The scale factor of the dilation is \frac{1}{2}.

Step-by-step explanation:

From the given figure it is clear that the vertices of figure DEFG are D(4,8), E(8,8), F(8,6), G(4,6).

The vertices of image D'E'F'G' are D'(2,4), E'(4,4), F'(4,3), G'(2,3).

From the figure it is clear that DF=4 units and D'F'=2 units.

The scale factor is proportion of corresponding sides of image and preimage.

k=(D'F')/(DF)

Substitute DF=4 units and D'F'=2 units.

k=(2)/(4)

k = \frac{1}{2}

Therefore the scale factor of the dilation is \frac{1}{2}.

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Solve for x please refer to image
QveST [7]

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40

6 0
2 years ago
which describes 1/8 is it a real number and rational number is it a real number and an irrational number and a natural number is
Aloiza [94]
Real numbers are all numbers found on the number line (positive, negative, fractions, square roots, whole numbers).

Rational numbers are fractions, or quotients, of two integers.

Irrational numbers are numbers with decimals that continue on (without repetition). They cannot be written as a fraction of two integers. Irrational number examples: √41, √97, √15

Natural numbers are whole, positive numbers.

Integers are whole, non-fraction numbers.


ANSWER: 1/8 is not a whole number, an integer or a natural number. It is a real and rational number (choice #1).

Hope this helps! :)
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Step-by-step explanation:

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Step-by-step explanation:

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