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Phoenix [80]
2 years ago
7

In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Mathematics
1 answer:
pochemuha2 years ago
6 0

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

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Answer:

The answer is D

Step-by-step explanation:

You divide each by 20

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2 years ago
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Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative
Phoenix [80]

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

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since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

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2 years ago
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Consider the system of linear equations.<br><br> 2y = x + 10<br><br> 3y = 3x + 15
Art [367]
I hope this helps you

5 0
2 years ago
Points J and K are midpoints of the sides of triangle FGH. What is the value of y?
sashaice [31]
The answer 

the complement of the question is 

What is the value of y?

2
5
7
<span>8
</span>
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so 

HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies  2HK =HF

HK / 2HK =  KJ / GF  it is equivalent to   1/2 = 2y+5 / 5y +3 

likewise, equivalent to  5y +3  = 4y +10, 5y-4y = 10-3, and y = 7


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7 0
3 years ago
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yawa3891 [41]
X = bessie and y = betty

x + y = 1464
y = 2x - 375

x + 2x - 375 = 1464
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x = 613 <== Bessie gave 613 gallons

y = 2x - 375
y = 2(613) - 375
y = 1226 - 375
y = 851 <== Betty gave 851 gallons
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3 years ago
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