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3 years ago

ANSWER QUICK PICTURE ATTACHED

Mathematics

2 answers:

Fynjy0 [20]3 years ago

4 0

Answer:

x° = 20°

Step-by-step explanation:

Sum of angles of triangles = 180°

Therefore,

(x + 5) + (7x - 5) + x = 180

x + 5 + 7x - 5 + x = 180

9x = 180

x = 20

∠M = (x + 5) = 20 + 5 = 25°

∠L = (7x - 5) = 140 - 5 = 135°

∠N = x = 20°

Sonbull [250]3 years ago

3 0

Answer:

Step-by-step explanation:

x+5+x+7x-5=180 degree (being the interior angles of a triangle)

9x=180

x=180/9

x=20 degree

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N is a positive integer

Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0

2 years ago

Create the pattern with the rule n×3+1

Kitty [74]

3n+1 is the answer
Hope this helps and please mark me as brainlest and like

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2 years ago

Y = 14x + -10<br> y = 7x +-3

vfiekz [6]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Pls pls help I’m really confused could someone explain to me pls

kenny6666 [7]

Answer: 11.6

--------------------------------------

Explanation:

See the attached image for a visual reference

The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)

We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle

Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to 11.6 when rounding to the nearest tenth (one decimal place)

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3 years ago

Simplify the expression. (15 + 8)[23 – (10 + 7)]

wariber [46]

(23)(23-17)
(23)(6)
138

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3 years ago