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3 years ago

If an interior angle of a regular polygon measures 140*, how many sides does it have?

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

9 sides.

Step-by-step explanation:

N is the # of sides.

140 = ((n-2) x 180) / n

Multiply both sides by n

140 n = (n-2) x 180

Distribute the right side

140 n = 180 n - 360

Subtract 140 n and add 360 to both sides.

40 n = 360

n = 9

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The triangle inequality

klemol [59]

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

3 0

3 years ago

Ryan planted flowers in a rectangular garden. The width of the garden is left parenthesis x minus 5 right parenthesis(x−5) feet

Nookie1986 [14]

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- The equation :

Area = length x width

- Substitute the values in :

Area = (x - 5)(x - 5 + 22)

(Note : the 'x' is for the algebraic expression x in the example above)

- Now you have to simplify the second parenthesis:

Area = (x - 5)(x + 17)

- Now expand :

Area = x^2 + 17x - 5x - 85

- Simplify by collecting like terms :

Area = x^2 + 12x - 85

(Note : x^2 means x squared)

Now you have your answer as:

x^2 + 12x - 85 feet^2

Have A Nice Day ❤

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- Ally ✧

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3 0

3 years ago

4x-5 - 2x-1

3241004551 [841]

Answer:

$\frac{5x - 8}{3}$

Step-by-step explanation:

Find the LCM of the denominators and then solve:

$\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\$

$\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\\frac{3(4x - 5) - 2x - 1}{6} \\\\\frac{12x - 15 - 2x - 1}{6}\\\\\frac{10x - 16}{6}\\\\ \frac{2(5x - 8)}{2 * 3} \\\\ \frac{5x - 8}{3}$