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https://static.k12.com/nextgen_media/assets/8117850-NG_GMT_DP024_42_002.png

 

https://static.k12.com/nextgen_media/assets/8117858-NG_GMT_DP024_42_008.png

 

https://static.k12.com/nextgen_media/assets/8110611-NG_GMT_DP024_42_013.jpg

 

https://static.k12.com/nextgen_media/assets/8095118-NG_GMT_NP024_299.jpg

 Jan 4, 2018
 #1
avatar+101870 
+2

First one

 

FB / FS   =  ZR / ZD

 

55/38  =  x / 15.2        multiply both sides by 15.2

 

15.2 * 55 /  38  =  x  = 22

 

 

Second one

 

JD / JY   =  [ JD + DF] / [ JY + YS]

 

50/42  =  [ 50 + x ] / [42 + 63 ]

 

25/21  = [ 50 + x ] / [ 105]      cross-multiply

 

105/21 * 25  =  50 + x

 

5 * 25  =  50  + x

 

125  = 50  + x       subtract 50 from both sides

 

75  =  x

 

 

 

Third one

 

In trangle  ABC, angle C  =  80°

 

So.....by  AA congruency

 

ΔABC     similar to   ΔJKL

 

 

Last one

 

HG/HF  =  10/22   =  5/11

 

And 

 

HJ /HK  =   15/33   =  5/11

 

Thus  the ratio  of

GJ/FK  =   5/11

 

So...... Δ HGJ  is similar to  ΔHFK

 

 

cool cool cool

 Jan 4, 2018

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