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I'm not very good with these. Sorry! Help!

 Nov 7, 2018
 #1
avatar+721 
+1

So, let's do the first problem!

 

If \(RG'\) is 12 and\(G'G\) is 3, then \(RG\) is 15 because \(12+3=15\) .

 

\(RG'/RG = 12/15 = 4/5\)

Therefore, the scale factor is 4/5, or C.

 

Second problem.

 

Why would you need an altitude, AAS Congruence, or any similar triangles? All you need is substitution in the Pythagorean Theorem, or answer A.

 

Third problem!

 

The triangles are similar, so we set up the ratio \(18/y=10.8/18\) and cross-multiplying we get \(324=10.8y\).

 

Simplifying for \(y \) we get \(y=30\) so the answer is D.

 

You are very welcome!

:P

 Nov 7, 2018
 #3
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+1

Sorry I had to log off. Thank you so much for your help! I appreciate it very much.

Guest Nov 7, 2018
 #2
avatar+102390 
+1

The answer to the second one is "B"....this will divide the larger right triangle into two smaller  similar  right triangles  which can be used to prove the P Theorem

 

 

 

For the last one......we have this relationship

 

y - 10.8         14.4

______  =  ______               cross-multiply

14.4             10.8

 

 

 

10.8 ( y - 10.8)  =  14.4 * 14.4

 

10.8 y - 116.64   = 207.36      add 116.64 to both sides

 

10. 8 y   = 324      divide both sides by 10.8

 

y  = 30

 

 

 

cool cool cool

 Nov 7, 2018
 #4
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+1

Thank you!! smiley

Guest Nov 7, 2018

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