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# Geometry quiz assistance?

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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

Severoth  Jan 4, 2018
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#1
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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

CPhill  Jan 4, 2018

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