Question

10 si 11 pls pls pls pls

Answer 1

10.

{a , b , c } d.p. { 4, 5 , 6}

a = 4k;   b = 5k  ; c = 6k

{c ,d }  i.p. { 0,5 , 0,(3)}

0,5 c = n ⇒  c=  2n   dar c = 6k  ⇒   2n = 6k  ;   n = 3k

1/3×d = n ⇒ d = 3n  ⇒   d = 3×3k = 9k

suma masurilor unghiurilor intr-un poligon convex = 360°

4k + 5k + 6k + 9k = 360⁰

24k = 360° ⇒k = 15⁰

a=  4k = 4×15° = 60°   ; b = 5k = 5×15° = 75°

c = 6k = 6×15° = 90° ; d = 9k = 9×15° = 135°

a = 60° ; b = 75°  ; c = 90°  ; d = 135°

11.

suma masurilor unghiurilor intr-un patrulater convex = 360°

patrulater = 4 laturi, 4 unghiuri

360 : 4 = 90°  fiecare din unghiuri are 90 de grade

Answer 2

10)
(m(<A);m(<B);m(<C)) dp (4,5,6)=>
=> <A/4=<B/5=<C/6=k
m(<C); m(<D) ip (0,5;0,(3) )=>
=> <C/0,5=<D/0,(3)=k
<A+<B+<C+<D=360°
<A=4k
<B=5k
<C=6k
<D=3/9k
4k+5k+6k+3/9k= 360°
15k+3/9k= 360 /:15
k+3/9k=24 /×3
k+9k= 72 /:9
2k=8 /:2
k=4
<A=4×4=8°
<B=5×4=20°
<C=6×4=24°
<D=360-(8+20+24)=360-52=308°

11)Fie a nr căutat.
4a=360°
a=360:4
a=90°=> <A=<B=<C=<D=90°

Succes ;)