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tatyana61 [14]
3 years ago
5

Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-6,0),

B'(-3,6), C'(-1,0) are congruent.
Mathematics
2 answers:
Nady [450]3 years ago
7 0
Thanks for your question!

The rule is (x-1, y-1). If we plus in the original we will get the translated one very time.

Hope this helps!
Drupady [299]3 years ago
5 0

Answer:

Triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'. The rule of translation is

(x,y)\rightarrow (x-1,y-1)

Step-by-step explanation:

Given information: In triangle ABC, A(-5,1), B(-2,7), C(0,1). In triangle A'B'C', A'(-6,0), B'(-3,6), C'(-1,0).

Let the rule of translation be

(x,y)\rightarrow (x-a,y-b)

where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b<0, then the graph shifts b units up and if b>0, then the graph shifts b units down.

It is given that A(-5,1) and A'(-6,0).

A(-5,1)\rightarrow A'(-5-a,1-b)

A'(-6,0)=A'(-5-a,1-b)

On comparing both sides, we get

-6=-5-a\Rightarrow a=1

0=1-b\Rightarrow b=1

The value of a is 1 and value of b is 1. So, the rule of translation is

(x,y)\rightarrow (x-1,y-1)

Therefore the triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'.

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goldenfox [79]

The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

<h3>What is the standard deviation?</h3>

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have a data set:

8, 16, 14, 8, 16

As we know the formula for standard deviation is:

\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}

Here σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observation in data set.

X = (8+16+14+8+16)/5 = 12.4

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After calculating the standard deviation will be:

σ = 3.67

Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.

New standard deviation:

σ(new) = 3.67

The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

Learn more about the standard deviation here:

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2 years ago
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prisoha [69]
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What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?
inn [45]
<h3><u>Explanation</u></h3>
  • Modulus Function

y = a |x  - h|  + k

The structure or equation is similar to a quadratic function.

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From the given equation,

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<h3><u>Answer</u></h3>

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8 0
3 years ago
It says solve for the variable can you explain
jeyben [28]

Answer:

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Step-by-step explanation:

Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees

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