Answer:
Let c represent the number of cows
Let h represent the number of horses
There are 2 more horses than cows in a field
⇒there are extra two horses are always than cows
⇒ horses-cows =2
⇒ hourses=2+cows
⇒ h =2+c
There are 16 animals in the field in all.
⇒ h +c=16
⇒ (2+c)+c=16
⇒ 2+2c=16
⇒ 2+2c-2=16-2
⇒2c=16-2
⇒ 2c=14
c=7
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Since the marked angles are congruent, let them be x
(6)
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
x + x + 120 + 90 = 360
2x + 210 = 360 ( subtract 210 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
Then ∠ X = ∠ Y = 75°
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(7)
The sum of the interior angles of a hexagon = 720°
Sum the angles and equate to 720
x + x + 108 + 103 + 149 + 90 = 720
2x + 450 = 720 ( subtract 450 from both sides )
2x = 270 ( divide both sides by 2 )
x = 135
Then ∠ X = ∠ Y = 135°
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
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Answer:
19 wing
Step-by-step explanation:
19 wings at .57 would be $10.83
To find the constant variation, solve for only one hour (in this case).
Divide 100 with 2
100/2 = 50/1
Each hour is 50 miles driven, so your constant variation is 50 mph
