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barxatty [35]
3 years ago
13

Will give brainliest

Mathematics
2 answers:
lianna [129]3 years ago
6 0

Answer:

40⁰

Step-by-step explanation:

<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>

1.Alternate angles equal

2.Vertically opposite angles are equal

If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰

Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.

There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand

Dennis_Churaev [7]3 years ago
5 0
It’s 40 degrees. Have a nice day!
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3 years ago
7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

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Step-by-step explanation:

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