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Nitella [24]
3 years ago
14

The diagram shows part of a regular polygon shaded in green.The interior angle is (28x+4)°.The exterior angle is (5x+11)°.How ma

ny sides does the polygon have?The diagram is not drawn to scale.
Mathematics
1 answer:
qwelly [4]3 years ago
6 0

Answer:

10 sides

Step-by-step explanation:

(28x+4)°+(5x+11)°=180°

28x+5x+11°+4°=180°

33x+15°=180°

33x=180-15

33x=165°

X=5.

Interior =(28×5)+4=144°

Exterior=(5×5)+11°=36°

No. of sides=360°\exterior

360°\36

10.

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Part A<br> What are the possible outcomes of rolling a six-sided die?
nikdorinn [45]

Answer:

the possible outcomes are :

  • one (1)
  • two (2)
  • three (3)
  • four (4)
  • five (5)
  • six (6)
4 0
2 years ago
I really need help asap please
gizmo_the_mogwai [7]
We can use the substitution method to solve this problem.

The second equation is \sf y=2x, so we can plug in 2x for 'y' in the first equation:

\sf 5x-2y=3

\sf 5x-2(2x)=3

Multiply:

\sf 5x-4x=3

Combine like terms:

\sf x=3

This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:

\sf y=2x

\sf y=2(3)

Multiply:

\sf y=6

This is the y-value of our solution. So our entire solution is (3, 6).
5 0
3 years ago
Brainliest answer and 5 points
Studentka2010 [4]
Answer: Choice C) Infinitely many solutions

If you solve the first equation for y, you get
2y = 14 - 2x
2y = 14 + (-2x)
2y = -2x + 14
2y/2 = (-2x)/2 + 14/2 ... divide every term by 2
y = -x + 7

This result of y = -x+7 is identical to the second equation in the system. So the two graphs are going to be the same. We only produce one line. One graph is right on top of the other. The two lines will intersect infinitely many times. Any point on the blue line is a solution to the system. 
3 0
3 years ago
A new furnace for your small factory will cost $29,000 and a year to install, will require ongoing maintenance expenditures of $
Neporo4naja [7]

Answer:

Net present value is $61,058.

Step-by-step explanation:

Net present value is the difference between present value of cash inflows and the present value cash outflows over the period of time. NPV method is used in capital budgeting to analyze profitability of the project.

Less: initial cost is $29,000

Add: Year 1: Cost saving due to new furnace is $5,600 (2,800 oil gallons * $ 2 per gallon)

Year 2: Cost saving due to new furnace is $7,000 (2,800 oil gallons * $ 2.50 per gallon)

Year 3- 20: Cost saving due to new furnace is $8,400 (2,800 oil gallons * $ 3 per gallon)

Less : Maintenance expenditure is $1,200

The furnace will benefit for 20 years and the price per gallon will increase by $0.50 year.

The annuity factor is applied at discount factor of 6% and then present value of each cash inflow and outflow is calculated. The net present value is $61,058.

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3 years ago
What is 2 + 4+6x9+12?
katen-ka-za [31]

Answer:

72 ?

Step-by-step explanation:

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