Question

Va rog sa ma ajutati ex 4, 5 . Va implor!!!!

Answer 1

exercitiul 5
a)
 ad/ab=ae/ac
8/12=ae/16=> ae=8×16/12
                        ae=128/12 se simplifica cu 2=64/6
bd=ab-ad
bd=12-8=4
ec=ac-ae
ec=16-64/6=16x6/6-64/96/6-64/6=32/6 care se simplifica cu 2=16/3

b) db=av-ad
db=30-24=6
ad/ab=ae/ac
24/30=8/ac
ac=30×8/24=10
ec=ac-ae
ec=10-8=2

c) ec=ac-ae
ec=12-8
ec=4
ad/ab=ae/ac
ad/ab=8/12
ab=ad+9
ad/(ad+9)=8/12
12ad=8×(ad+9)
12ad=8ad+72
12ad-8ad=72
4ad=72
ad=72:4
ad=18
ad+bd=ab
18+9=ab
ab=27

d)ab=ad+db
ab=16+12
ab=28
ad/ab=ae/ac
16/28=ae/ac
16/28=(ac-15)/ac
16ac=28×(ac-15)
16ac=28ac-420
16ac-28ac=-420
-12ac=-420
ac=-420:(-12)
ac=35
ae=ac-ec
ae=35-15
ae=20

exercitiul 4
a) eb=ab-ae
eb=18-12
eb=6
ae/ab=af/ac
12/18=af/36
af=12×36/18
af=24
fc=ac-af
fc=36-24
fc=12
b)fc=ac-af
fc=16-6
fc=10
af/ac=ae/ab
6/16=ae/ab
6ab=16ae
6×(ae+5)=16ae
6ae+30=16ae
6ae-16ae=-30
-10ae=-30
ae=-30:(-10)
ae=3
ab=ae+eb
ab=3+5
ab=8
c)af=ac-fc
af=20-6
af=14
ae/ab=af/ac
ae/ab=14/20
20ae=14ab
20×(ab-9)=14ab
20ab-180=14ab
20ab-14ab=180
6ab=180
ab=180:6
ab=30
ae=ab-9
ae=30-9
ae=21
d)eb=ab-ae
eb=27-15
eb=8
ae/ab=af/ac
15/27=af/ac
15ac=27af
15×(af+16)=27af
15af+240=27af
15af-27af=-240
-12af=-240
af=-240:(-12)
af=20
af+fc=ac
20+16=ac
ac=36