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pshichka [43]
3 years ago
15

What is the measure of each angle in a regular nonagon?

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

Each angle of a regular nonagon is 140°

Step-by-step explanation:

The sum of all the interior angles is equal to 1260°

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Find the value of n in 7 times 38 plus 3 times 45 minus 56
Alex787 [66]
7 * 38 + 3*45 - 56 
use order of operations 
(7*38) + (3*45) - 56

266 + 135 - 56

=345
3 0
3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.
denis-greek [22]
\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b

which means there is some integer k for which a+b=9k.


Because 9\mid a and 9\mid b, there are integers n_1,n_2 such that a=9n_1 and b=9n_2, and


\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42

We have 42=2\cdot3\cdot7, which means there are four possible choices of n_1,n_2:

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for a,b:

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of a+b is 117.
6 0
3 years ago
X^2-18x=-72<br><br> I need two solutions. Thanks.
eimsori [14]

Hey Astute!

Solve: x^2 - 18x = -72

Solution:

x^2 − 18x − (−72) = −72 − (−72) (Subtract -72 from both sides of the equation)

x^2 − 18x + 72 = 0

(x − 6) (x − 12) = 0 (Factor left side)

x − 6 = 0 or x − 12 = 0 (factors have to equal 0)

6 - 6 = 0 or 12 - 12 = 0

Answer:

x = 6 or x = 12

Hope This Helps, Have a Great Day!

7 0
3 years ago
Read 2 more answers
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