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Crazy boy [7]
3 years ago
8

How many sides does a polygon have if the sum of its angle measures is 2700 degrees and how do you find this?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0
the\ sum\ of\ angle\ measures\ is\ 2700^0\\\\(n-2)\cdot180^0=2700^0\\n-the\ number\ of\ the\ sides\ of\ the\ polygon\\\\n-2= \frac{2700}{180} \ \ \ \Rightarrow\ \ \ n-2=15\ \ \ \Rightarrow\ \ \ n=17\\\\Ans.\ 17\ sides\ of\ the\ polygon.
ss7ja [257]3 years ago
6 0
The number of angles equal the number of sides


The number of angles calculate: (n-2)x180°

(n-2)x180°=2700°    |divide both sides by 180°

n-2=15    |add 2 to both siedes

n=13

Answer: 13 sides.


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3 years ago
The sum of three consecutive integers is 53 more than the least of the integers. Find the integers. Really need the help!!
inn [45]

Answer:

25, 26, 27

Step-by-step explanation:

x+x+1+x+2=x+53

3x+3=x+53

2x=50

x=25

so x=25, x+1=26, x+2=27

3 0
3 years ago
A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?
morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the  average of the numbers at the endpoints.

It is given by:    M = \frac{a+s}{2} +(\frac{b+t}{2})i

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i  and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i     [Apply Mid-point formula]

On comparing both sides

we get;

-1 = \frac{-5+s}{2}  and  1 = \frac{-7+t}{2}

To solve for s:

-1 = \frac{-5+s}{2}

or

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

1 = \frac{-7+t}{2}

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

or

t =9

Therefore, the other end point (s+ti) is, 3+9i




4 0
4 years ago
Read 2 more answers
Please help no links
kap26 [50]

Answer: B or C

Step-by-step explanation:

if u can compare the triangles u u can use ur math and get the answer

3 0
3 years ago
Read 2 more answers
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