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WITCHER [35]
3 years ago
15

A transformation of ΔDEF results in ΔD'E'F'.

Mathematics
2 answers:
sladkih [1.3K]3 years ago
6 0

Answer:

Rotation

Step-by-step explanation:

A transformation of a triangle can be either dilation or reflection or rotation or a translation.

Dilation happens when a symmetric figure is formed with scale factor other than 1.  But here both triangles have same side length.  Hence no dilation

Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on  a line.  Hence no reflection

Rotation is keeping the same shape but rotating through a certain angle.  Here DEF is rotated without disturbing its shape or size through a certain angle. Hence rotation is right

Translation is not right because there is no vertical or horizontal shift to get new triangle.

EastWind [94]3 years ago
6 0

Answer:

c

Step-by-step explanation:

The transformation is a rotation.

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What is the formula for the nth term of the given sequence 100, 20, 4, …
Naily [24]

Answer:

a_n=100 \left(\dfrac15\right)^{n-1}

Step-by-step explanation:

General equation of geometric sequence:  a_n=ar^{n-1}

Given:

  • a₁ = 100
  • a₂ = 20
  • a₃ = 4

\implies a_1=a=100

\implies a_2=100 \cdot r=20

\implies a_3=100 \cdot r^2=4

Common ratio:

r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15

Therefore:

a_n=100 \left(\dfrac15\right)^{n-1}

6 0
2 years ago
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Vanyuwa [196]

Answer:

\boxed {m = -\frac{5}{7}}

Step-by-step explanation:

Use the <u>Slope Formula</u> to determine the slope of two given points:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

First Point: (x_{1} , y_{1})

Second Point: (x_{2}, y_{2})

-Substitute both points:

First Point: (5, 11)

Second Point: (19, -1)

m = \frac{-1 - 11}{19 - 5}

-Solve for the slope:

m = \frac{-1 - 11}{19 - 5}

m = \frac{-10}{14}

\boxed {m = -\frac{5}{7}}

Therefore, the slope is -\frac{5}{7}

4 0
3 years ago
What is the solution set of 4x = y and 2x^2− y = 0?
Alona [7]

Answer:{0,2}

Step-by-step explanation:

Substitute 4x in for the y

2x^2-4x=0

Factor out GCF 2x

2x(x-2)=0

Set each factor = 0 and solve

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olga2289 [7]

Answer:

Yes I believe that is correct.

Step-by-step explanation:

Im not sure why the m is first because it would be 180 miles first but I think you are correct, I think you should wait for another answer tho because I am not 100 percent sure. :)

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2 years ago
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babunello [35]

Answer:

A=5

Step-by-step explanation:

Hence the value of a and b are 5

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2 years ago
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