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marusya05 [52]
3 years ago
14

Helphelphelphe helphelp

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

55°

Step-by-step explanation:

In the picture above.

I hope that it's a clear solution and explanation.

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the sum of the measures of the interior angels of a convex polygon is 3240 classify the polygon by the number of sides
Ipatiy [6.2K]

Answer:

20-gon

Step-by-step explanation:

First we start with the formula  to find what the sum of angles will be if we know the number of sides.  


S=(n-2)*180 where S is the sum of angles and n is the number of sides.


Normally you'd plug in n to find S, but you can do the opposite too.


3240=(n-2)*180


Let me know if you need help working it from here.  

5 0
3 years ago
A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst
Lerok [7]

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour.  On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour.  The resulting speed of the boat (traveling downstream) is B+C miles per hour.  Put this info in the second column in the chart.  Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

6 0
3 years ago
Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change
OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

1\ quarter=\$0.25

we know that

x+y+z=260 ----> equation A

0.05x+0.10y+0.25z=29.75 ----> equation B

x=2z ----> equation C

substitute equation C in equation A and equation B

2z+y+z=260

3z+y=260 ---> equation A1

0.05(2z)+0.10y+0.25z=29.75

0.35z+0.10y=29.75 -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

so

z=75, y=35

<em>Find the value of x</em>

x=2(75)=150

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0
3 years ago
Consider the sequence.
kirza4 [7]
I wish I can’t help but lol k bye
5 0
2 years ago
Glen Cove has a population of 7,200, which is decreasing at a
slamgirl [31]

Answer:

11 years

Step-by-step explanation:

7200  -  80x  =  5000  +  120x
-5000 + 80x    -5000 + 80x
           2200 = 200x
                  11 = x

4 0
2 years ago
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