Answer:
1). x° + 100° + 120° + 100° = 360°
2). x = 40
Step-by-step explanation:
Formula for the sum of the interior angles of a polygon =
Where n = number of sides of the polygon
From the picture attached,
For n = 4,
Sum of the interior angles of the given polygon = (4 - 2) × 180°
= 360°
Therefore, equation for the sum of interior angles will be,
x° + 100° + 120° + 100° = 360°
x° + 320° = 360°
x° = 360° - 320°
x° = 40°
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
(2x+15) +x=90
- 15 = -15
2x+x= 75
3x= 75
3 = 3
x= 25
Answer:
$27.5
Step-by-step explanation:
Other solution
38.2 X 0.8 = 30.56 (20% off)
30.56 X 0.9 = 27.504 (Another 10% off)
Answer:
4:9
Step-by-step explanation:
Not travelling: travelling
12 : 27
4 : 9
12 and 27 have 3 as a common factor
Therefore the ratio can be simplified to:
12/3 : 27/3
4 : 9