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ehidna [41]
3 years ago
5

Help me answer this question plz

Mathematics
2 answers:
GarryVolchara [31]3 years ago
7 0

Answer:

The lengths of DF and HI

Step-by-step explanation:

SSS

This means Side Side Side

So to prove this triangle is similar we have to use only true information about the sides.

We can already cross off the second and last answer choices because they are talking about angles.

The first answer choice is about the sides but first we have to determine if its true or not.

Side DF is on the left opposite of angle G

HI is also on the left, opposite of angle I

We can assume those sides are the same but to really know we can check if the other sides match up

We know this constriction has a scale factor of: 1.66666667

If you divide 3.5 by our scale factor you get 2.1

If you divide 5 by our scale factor you get 3

This proves that DG and HJ and FG and IJ would be the matching constricted side

This means that DF and HI would be matching as well making the first answer choice correct.

I hope this helps, don't be afraid to reach out with any further questions! Have a nice day!

kodGreya [7K]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}


keeping that template in mind, the g(x) function is just a translated version of f(x), it is translated upwards by 2 units, namely D = 2.

\bf f(x)=3-x^4\implies f(x)=\stackrel{A}{-1}(\stackrel{B}{1}x+\stackrel{C}{0})^4+\stackrel{D}{3}\implies \stackrel{\textit{shifted upwards by 2 units}}{f(x)=\stackrel{A}{-1}(\stackrel{B}{1}x+\stackrel{C}{0})^4+\stackrel{D}{3+2}} \\\\\\ f(x)=-1(1x+0)^4+5\implies f(x)=-x^4+5\implies f(x)=5-x^4=g(x)

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3 years ago
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Hope this helps...

Good luck on your assignment..

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