Answers:
Angle A = 104 degrees
Angle B = 76 degrees
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Supplementary angles add to 180 degrees.
A+B = 180
(3x-7)+(2x+2) = 180
5x-5 = 180
5x-5+5 = 180+5 ... add 5 to both sides
5x = 185
5x/5 = 185/5 .... divide both sides by 5
x = 37
Use x =37 to find
Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees
Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees
As a check: A+B = 104+76 = 180 so that helps confirm the answer
Answer:
34 degrees
Step-by-step explanation:
ok so 180-111=69
then the opposite angle from 37 is also 37
the the missing angle from the left triangle has to be 103
so then the angle below x is 77
and so we know x = 34 degrees
I hope that made sense.
The estimated cost is 400$
The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area =
<span>
<span>
<span>
36,643.59
</span>
</span>
</span>
/ 2
area =
18,321.8 square millimeters
Answer:
10
Step-by-step explanation:
To solve this problem you need to create a system of equations. In these equations, use a = 2-seated car and b = 4- seated car
The first equation that you can make can be a + b = 25 because the number of 2-seated cars plus the number of 4-seated cars is going to equal a total of 25 cars.
The next equation you can make is 2a + 4b = 70 because the number of seats provided by the 2-seated cars plus the number of seats provided by the 4-seated cars will equal 70 total seats.
Next, line up the equations and solve:
Step one: Line up the equations
a + b = 25
2a + 4b = 70
Step two: Multiply the top equation by -2 so that you can add both of the equations together
-2(a) + -2(b) = 25(-2) ⇒ -2a - 2b = -50
2a + 4b = 70 ⇒ 2a + 4b = 70
Step three: Add the equations
-2a - 2b = -50
+ 2a + 4b = 70
______________
2b = 20
Step four: Divide both sides by 2 in order to solve for b
2b = 20 ⇒ b = 10
Because b represents the number of 4-seated cars, you now know that there are 10 4-seated cars on the ride.
