Respuestas
Respuesta:
90/7 , 450/7 , 90/7 ; 180/13 , 540/13 , 360/13 , 90/13 ; 120/7 , 360/7 , 240/7 , 180/7 , 360/7 ; 540/11 , 324/11 , 144/11 , 324/11 , 648/11 ; 700/23 , 792/23 , 1027/23 , 571/23 , 1050/23 ; 11/4 ; 86
Explicación paso a paso:
*se sabe:
En las imagenes.
*resolviendo:
a)
x+5x+x=90
7x=90
x=90/7
∴
∡AOB=x=90/7
∡BOC=5x=450/7
∡COD=x=90/7
b)
(x/2)+2x+3x+x=90
(x/2)+6x=90
x+12x=180
13x=180
x=180/13
∴
∡AOB=x =180/13
∡BOC=3x=540/13
∡COD=2x=360/13
∡DOE=x/2=90/13
c)
3x+(3x/2)+2x+3x+x=180
9x+(3x/2) =180
18x+3x=360
21x=360
x=360/21
x=120/7
∴
∡AOB=x=120/7
∡BOC=3x=360/7
∡COD=2x=240/7
∡DOE=3x/2=180/7
∡EOF=3x=360/7
d)
3x+(3x/2)+(2x/3)+(3x/2)+(5x/2)=180
6x+3x+4x/3+3x+5x=360
18x+9x+4x+9x+15x=1080
55x=1080
x=1080/55
x=216/11
∴
∡AOB=(5x/2)=540/11
∡BOC=(3x/2)=324/11
∡COD=(2x/3)=144/11
∡DOE=(3x/2)=324/11
∡EOF=3x=648/11
e)
3x+(3x/2)+2+3x-1+2x+4+2x=180
10x+(3x/2)+5=180
10x+(3x/2)=175
20x+3x=350
23x=350
x=350/23
∴
∡AOB=2x=700/23
∡BOC=2x+4=(700/23)+4=792/23
∡COD=3x-1=(1050/23)-1=1027/23
∡DOE=(3x/2)+2=(525/23)+2=571/23
∡EOF=3x=1050/23
f)
12x+52=85
12x=85-52
12x=33
x=33/12
x=11/4
g)
x-4+x+12=180
2x+8=180
2x=180-8
2x=172
x=172/2
x=86
