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Kamila [148]

The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The relationship between the trigonometric ratios</h3>

The given parameters are:

Scale factor of dilation, k = 2
cos(X) = 2.5/5/59

Since the transformation is a dilation, it means that both triangles are similar.

So, we have:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The segments AC and AB. </h3>

In (a), we have:

Both triangles are similar.

This means that the corresponding points are:

X and A

Y and C

Z and B

So, we have:

AC = 2 * XY

AB = 2 * XZ

Read more about dilation at:

brainly.com/question/13176891

#SPJ1

4 0

2 years ago

Find the equation of the linear function represented by the table below in slope-

7nadin3 [17]

to get the equation of any straight line we simply need two points off of it, hmm let's get two from this table

$\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&4\\ 1&10\\ 2&16\\ 3&22\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\ \leftarrow \textit{let's use this point}\\\\ \leftarrow \textit{and this point} \end{array}$

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{22}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{22}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{12}{2}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{6}(x-\stackrel{x_1}{1}) \\\\\\ y-10=6x-6\implies y=6x+4$

7 0

2 years ago

HELP ME WITH THIS FAST!!!!!!!! PLEASE!!!

daser333 [38]

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KatelynKaley avatar

KatelynKaley

12/03/2016

Mathematics

Middle School

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HELP ME WITH THIS FAST!!!!!!!! PLEASE!!!

A jar holds 3/4 gallon of juice when it is 7/8 full. Which statement best describes the quotient of 3/4 divided by 7/8?

A The maximum amount of juice the jar can hold is 7/6 gallons.

B The maximum amount of juice the jar can hold is 6/7 gallon.

C The amount of juice that can be still poured in the jar is 7/6 gallons.

D The amount of juice that can be still poured in the jar is 6/7 gallon.

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