+122 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
+128408 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
