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seraphim [82]
3 years ago
5

What’s the correct answer for this question?

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

PO = 20

Step-by-step explanation:

They are equidistant from the centre

PG = GO

x-4=1/2x+3

Multiplying both sides by 2

2(x-4)=x+6

2x-8=x+6

2x-x = 6+8

x = 14

Now

PO = 14-4+7+3

PO = 10+10

PO = 20

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The sum of three consecutive even numbers is 552. What is the 1st number?
wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0
2 years ago
Read 2 more answers
(7x+6) + (9x-24) = 180
Tems11 [23]

Answer:

x=99/8

Step-by-step explanation:

7 0
3 years ago
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At one point in 2011, there were approximately 2.1 billion internet users worldwide. If approximately 9/40 of the users lived in
Rufina [12.5K]
Estimating the number of internet users in Europe by multiplying the ratio with the whole internet users
users in Europe = 9/40 × 2.1 billion
users in Europe = 9/40 × 2,100 million
users in Europe = (9 × 2,100)/40  million
users in Europe = 18,900/40 million
users in Europe = 472.5 million

The number of internet users in Europe is approximately 472.5 million at this time
7 0
3 years ago
No rush but what is the formula for finding the area of a polygon
Sever21 [200]

Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

Step-by-step explanation:

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3 years ago
Domanin and range...
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<h2>Domain:</h2><h2>- ∞ < x < ∞</h2>

<h2>Range:</h2><h2>y≤9</h2>
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