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topjm [15]
2 years ago
11

By finding the size of each exterior angle of a regular polygon with 24 sides, calculate the size of each interior angle of the

polygon.
Mathematics
1 answer:
Dima020 [189]2 years ago
5 0

We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.

We replaced in : (24-2) x 180 = 3960

So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.

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Find the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5).
Vilka [71]

Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are (4,-\dfrac{1}{2}).

Step-by-step explanation:

We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-

(x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})  .....(i)

Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)

Then , by using (i) , the coordinates of the midpoint of CM would be :-

(\dfrac{1+7}{2},\dfrac{-6+5}{2})\\\\=(\dfrac{8}{2},\dfrac{-1}{2})\\\\=(4,-\dfrac{1}{2})

Hence,  the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are (4,-\dfrac{1}{2}).

3 0
3 years ago
A tank is 4/5 full of water. If 40 gal more water are needed to fill the tank completely, find the capacity of the tank.
weqwewe [10]
200 gallons
5/5-4/5=1/5
1/5=40 gallon
40x5=200 gallon
3 0
4 years ago
Dominick weighs 30 pounds more than his sister. Together they weigh 330 pounds. How much does Dominick weigh?
german

Domik weights 30 pounds more than his sister

Together they weigh 330 pounds

Let "x" represent the weight of Dominik's sister, then his weight can be expressed as "x+30"

And their total weight can be calculated as:

x+(x+30)=330

From this expression you can calculate the value of x:

\begin{gathered} 2x+30=330 \\ 2x+30-30=330-30 \\ 2x=300 \\ \frac{2x}{2}=\frac{300}{2} \\ x=150 \end{gathered}

x=150 pounds

x+30=150+30=180 pounds

Dominik weights 180pounds and his sister 150 pounds

8 0
2 years ago
Read 2 more answers
What is the value of Z in the equation to Z +7 equals -5
tangare [24]

Answer:

-12

Step-by-step explanation:

The Equation:

z + 7 = -5

Solve for the variable, z by isolating it. Note the equal sign, what you do to one side, you do to the other.

Note the rule PEMDAS.

PEMDAS is the order of operation & =

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

Isolate the variable. To do so, subtract 7 from both sides:

z + 7 = -5

z + 7 (-7) = -5 (-7)

z = -5 - 7

Simplify:

z = -5 - 7

z = -12

-12 is your value for z.

~

6 0
3 years ago
Read 2 more answers
What is the y intercept of equation 15y=7.50x-750?
slega [8]
In the equation y=mx+b, the b value represents the y intercept. However, y must be completely isolated. You must divide all numbers by 15. The y intercept is equal to -750/15 which equals -50
6 0
3 years ago
Read 2 more answers
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