Respuestas
Respuesta:
10)
Explicación paso a paso:
10) 5x+3x+2= 180
8x= 178
x= 22.25
11) x-3+2x+10=180
3x+7=180
3x= 173
x= 57.67
12) 5x+x=90
6x= 90
x= 15
13) 2x+5+x-4=180
3x +1= 180
3x= 179
x=59.67
14) a= 130
b=50
c=50
d=130
e= 50
f= 130
g=50
h=130
15) a+e= 180
x+3x= 180
4x= 180
x= 45
16) 3x+4+2x-5= 180
5x= 181
x=36.2
17) a y e= 163.65
f y b= 16.35
c y g =16.35
d y h = 163.65
Explicación paso a paso:
- 10)
5X + 3X + 2 = 180
8X = 178
X = 178/8 = 22.25
reemplazamos...
5X = 5 × 22.25 = 111.25
3X + 2 = 3 × 22.25 + 2 = 68.75
- 11)
X – 3 + 2X + 10 = 180
3X = 180 – 7
3X = 173
X = 173/3 = 57.66
reemplazamos....
X – 3 = 57.66 – 3 = 54.68
2X + 10 = 2 × 57.66 + 10 = 125.32
- 12)
5X + X = 90
6X = 90
X = 90/6 = 15
reemplazamos..
5X = 5 × 15 = 75
X = 15
- 13)
2X + 5 + X – 4 = 180
3X + 1 = 180
3X = 179
X = 179/3 = 59.7
reemplazamos....
2X + 5 = 2 × 59.6 + 5 = 124.4
X – 4 = 59.6 — 4 = 55.6
- 14)
A = 130°
B = 50°
C = 50°
D = 130°
E = 50°
F = 130°
G = 50°
H = 130°
- 15)
A = X = 45°
B = 135°
C = 135°
D = 45°
E = 3X = 3 × 45° = 135°
F = 45°
G = 135°
H = 45°
A = X ; A = H por lo tanto, H = X
3X + X = 180
4X = 180
X = 180/4 = 45
X = 45°
- 16)
A = 3X + 4 = 3 × 36.2 + 4 = 112.6°
B = 67.4°
C = 2X – 5 = 2 × 36.2 – 5 = 67.4°
D = 112.6°
E = 67.4°
F = 112.6°
G = 67.4°
H = 112.6°
3X + 4 + 2X – 5 = 180
5X – 1 = 180
5X = 181
X = 181 / 5 = 36.2
- 17)
A = 163.65°
B = 16.35°
C = 16.35°
D = 163.65°
E = 163.65°
F = 16.35°
G = 163.65°
H = 16.35°