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Len [333]
2 years ago
10

Does anybody know? Find the value of x in the regular polygon

Mathematics
2 answers:
Gala2k [10]2 years ago
6 0
That is a dodecagon, so x without context is 150.
arlik [135]2 years ago
3 0

Answer:

x = 150

Step-by-step explanation:

The regular poligon shown in the image has 12 angles so it's a dodecagon

A dodecagon's interior angles is calculated with the following formula:

(n-2)180 (n is the count of angles)

10*180 = 1800 now this is the sum of all 12 angles' measure to find the value of x we divide this sum by 12

1800/12 = 150 this is the value of x

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Martina drove 715 miles in 13 hours. at the same rate, how long would it take her to drive 495 miles?
Natali5045456 [20]
First you need to get the unit rate by dividing 715 by 13, getting 55 miles per hour. You then will need to divide 495 by 55 to get the answer of 9
5 0
3 years ago
John ,Rick , and Molli are painting a room together. It takes all of them 16 hours to paint the room to perfection. It takes Joh
CaHeK987 [17]
John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.

It takes Molli 2 2/3 hours to paint the room alone.

Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.

We do not yet know Molli's rate, so we will call it x.

We know that 1/8+1/2+x = 1 hour.

We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1

Adding the numerators, 
(1+4+8x)/8 = 1

Multiply both sides by 8:
1+4+8x = 8

Add like terms:
5+8x = 8

Subtract 5 from both sides:
5+8x-5=8-5
8x=3

Divide both sides by 8:
8x/8 = 3/8
x = 3/8

Molli's rate is 3/8.

Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1

Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3

This is the amount of time it takes Molli to paint the entire room.
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3 years ago
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velikii [3]

Answer:

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Step-by-step explanation:

it is a square and 144 is the area

√144

This gives us 12 for each side

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Y= 3/1 x + 3 ///////////
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3 years ago
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Which expression demonstrates the distributive property applied to the expression 4(x + y)?
nalin [4]
4x+4y is the right answer.
3 0
4 years ago
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