Question

Pls ajutor am nevoie mare in 30 min max...!!
dau coroana si 50 pct​

Answer 1

Răspuns:

Scuze dar nu pot sa fac desenul. Si ultimul nu stiu cum se rezolva.

*= grade

<= unghi

Explicație pas cu pas:

13.

<AOB+<BOC+<AOC= 360*

<BOC=2<AOB+72*

<AOC=3<AOB+60*

Iar acum inlocuim:

<AOB+2<AOB+72*+3<AOB+60*=360*

6<AOB=228* => <AOB=38*

<BOC=2<AOB+72*=76*+72*=148*

<AOC=3<AOB+60*=114*+60*=174*

(OM-bis. <AOB => <AOM=<MOB= <AOB:2= 19*

(ON-bis <BOC => <BON=<NOC= <BOC:2= 74*

(OP-bis. <AOC => <AOP=<OPC= <AOC:2= 87*

<MON= <MOB+<BON= 93*

<NOP= <NOC+<OPC= 161*

14.

<AOB+<BOC+<COD+<DOA= 360*

$<BOC= \frac{<AOB}{2} \\<COD= \frac{7}{6} <AOB\\<DOA= \frac{4}{3} <AOB$

Iar acum inlocuim:

$<AOB+\frac{<AOB}{2} +\frac{7<AOB}{6} +\frac{4<AOB}{3} =360*\\\frac{6<AOB}{6} +\frac{3<AOB}{6} +\frac{7<AOB}{6} +\frac{8<AOB}{6} =360*$

Si amplificam toate fractiile, prima cu 6, a doua cu 3 si a patra cu 2, ca sa aiba numitorul comun 6.

$\frac{24<AOB}{6} =360* \\24<AOB=2160*\\<AOB= \frac{2160}{24} =90*$

<BOC= <AOB:2= 45*

$<COD= \frac{7}{6} <AOB= 105*\\<DOA= \frac{4}{3} <AOB= 120*$

<MON= <MOB+BON= 67,5*

<MOB= <AOB:2= 45* si <BON= <BOC:2= 22.5*

<NOP= <NOC+<COP= 75*

<NOC= <BOC:2= 22.5*

<COP= <COD:2= 52.5*

<POQ= <POD+<DOQ= 112.5*

<POD= <COD:2= 52,5*

<DOQ= <DOA:2=60*

<QOM=<QOA+<AOM= 105*

<QOA= <DOA:2= 60*

<AOM= <AOB:2= 45*

Sper ca te-am ajutat!