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3 years ago

"find expressions for the mean and standard deviation of y if this variable is determined by the expression y

1 answer:

3 0

<span>expressions for the mean and standard deviation of y if this variable is determined by the expression y </span> $\lim_{n \to \infty} a_n$ $\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]$

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A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH

Burka [1]

Two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH : <u>rotation -90° and translation (0,2)</u>

<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

There are 2 shapes of geometry:

Similar figures:

the same shape but different in size,

Congruent figures:

the same size and the same shape

Both polygons will appear congruent if, after being transformed, the two polygons will map exactly to each other

A sequence of two transformations e can do is :

1. rotation -90°

Let point H(4,1) from polygon GFJIH , we rotate -90°

$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$

2. translation (0,2)

$\left[\begin{array}{ccc}8\\1\end{array}\right]+\left[\begin{array}{ccc}0\\2\end{array}\right]=\left[\begin{array}{ccc}8\\3\end{array}\right]$

<h3 /><h3>Learn more</h3>

brainly.com/question/13715226

Keywords: transformation, translation, rotation

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7 0

3 years ago

Read 2 more answers

One angle within a triangle is 76 degrees. What is the value of the exterior angle?

mrs_skeptik [129]

Answer:

The value of the exterior angle is $104\°$

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to $180\°$ , because are supplementary angles.

Let

x-----> the measure of the exterior angle

$76\°+x=180\°$

solve for x

$x=180\°-76\°=104\°$

4 0

4 years ago

jen thought of a number. she called her number k. she subtracted 34 from her number, multiplied the result by 9, and she got 72.

sattari [20]

(k - 34) x 9 =72
k - 34 = 72/9
k - 34 = 8
k = 8 + 34
k = 42

5 0

3 years ago

Help me please owo due today

Allushta [10]

Answer:

the area of the mat = total area added minus the original area of the water color painting.

length of the mat is:

L = 21 in + 3 in + 3 in because 3 in is added to each side

L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in

Area mat = (27 in x 17 in) - ( 21 in x 27 in)

area mat = 108 sq in is the area of the mat

4 0

3 years ago

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Please help!!!<br> Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Elza [17]

$\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}$

$\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{3^4(m^{-1})^4(n^2)^4}{2^3(m^{-2})^3n^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}\\\\=10.125m^{-4-(-6)}n^{8-3}=10.125m^2n^5$

7 0

3 years ago

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