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ex2.va rog eu vine revelionu

Ex2va Rog Eu Vine Revelionu class=

Răspuns :

Răspuns:

Explicație pas cu pas:

1.

___A____B________C____________D_____

BC = 2AB

DC = AC

AC = AB + BC = AB + 2AB = 3AB

DC = 3AB

BD = BC + CD = 2AB + 3AB = 5AB = 30 cm

AB = 30 : 5 = 6 cm

2.

<AOB + <BOC = 90° (unghiuri adiacente complementare)

<AOB = <BOC*5/13

<BOC = <AOB*13/5

<AOB + <AOB*13/5 = 90°

<AOB*5/5 + <AOB*13/5 = 90°

<AOB*18/5 = 90°

<AOB = 90° : 18/5 = 90°*5/18 = 25°

1. din simetric ⇒ AC=CD

AC=AB+BC=AB+2AB=3AB

BD=BC+CD=BC+AC=2AB+3AB=5AB

BD=30=5AB

AB=30:5=6

BC=2AB=2*6=12 cm, varianta d

2. AOB=x si BOC=y

x+y=90  inmultim cu 5⇒5x+5y=450 inlocuim

x/y=5/13 ⇒13x=5y

5x+13x=450 ⇒x=450:18

x=25⇒unghi AOB=25 grade , varianta b