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Talja [164]
4 years ago
11

if each interior angle of a regular convex polygon is three times the measure of each exterior angle, what kind of polygon is it

?
Mathematics
1 answer:
Julli [10]4 years ago
4 0
The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,

     180(n - 2)/ n = 3(360/n)

The value of n from the equation is 8. The polygon with 8 sides is an octagon.

<em>Answer: OCTAGON</em>
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What is CA in the figure
Snowcat [4.5K]

Answer:

The answer is D good luck :)

8 0
4 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Brilliant_brown [7]

-2<em>x</em> + 6<em>y</em> = -38

3<em>x</em> - 4<em>y</em> = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114

2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64

Add the equations.

-6<em>x </em>+ 18<em>y</em> = -114

6<em>x</em> - 8<em>y</em> = 64

+_____________

0 + 10<em>y</em> = -50

10<em>y</em> = -50

<em>y</em> = -5

Substitute -5 for y into one of the original equations to find x.

3<em>x</em> - 4<em>y</em> = 32

3<em>x</em> - 4(-5) = 32

3<em>x</em> + 20 = 32

3<em>x</em> = 12

<em>x</em> = 4

Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.

-2<em>x</em> + 6<em>y</em> = -38

-2(4) + 6(-5) = -38

-8 - 30 = 38

38 = 38


3<em>x</em> - 4<em>y</em> = 32

3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

Answer:

<em>x</em> = 4 and <em>y</em> = -5; (4, -5).

8 0
3 years ago
Read 2 more answers
To arrive at its destination on time the bus should have maintained a speed of vv kilometers per hour throughout the journey. In
yulyashka [42]

Answer:

The answer to the question is

The actual duration of the trip is 8/9 times the normal duration or the bus arrived 1/9 times earlier than it would have at a constant speed of v kph

Step-by-step explanation:

Speed of bus in the first third distance = v kph

Speed of bus for the remaining two thirds = 1.2 v kph

To solve the question, we note that speed = distance/time

therefore time = distance/speed

Let the distance of the destination be D, then

Normal duration at speed v = D/v

Actual duration (D/3)÷v + (2D/3)÷(1.2v) ⇒ (1.2*D/3 + 2D/3)1.2v

= \frac{D}{3v} +\frac{5D}{9v} = (8/9)×D/v

Therefore the actual duration is 8/9 times the normal duration

7 0
4 years ago
Can someone help me with number 135?
Nat2105 [25]

so from accidental deaths we have

30 from falls

47 from fires

200 from drowning

1950 car accidents


so the total of those is 30+47+200+1950, or 2227.


the ones that weren't car accidents will be 2227 - 1950, or 277.


if we take 2227 to be the 100%, how much is 277 off of it in percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 2227&100\\ 277&x \end{array}\implies \cfrac{2227}{277}=\cfrac{100}{x}\implies x=\cfrac{277\cdot 100}{2227} \\\\\\ x\approx 12.4382577~\hspace{7em}\stackrel{rounded~up}{x=12}

3 0
4 years ago
-20x - 10y = 20<br> 10x + 5y = -10
romanna [79]

Answer:

   5 • (4xy + 2x - 3y)

Step-by-step explanation:

3 0
4 years ago
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