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4 years ago

An interior angle of a regular convex polygon is 135 degrees. How many sides does the polygon have?

1 answer:

7 0

The formula for the sum of the interior angles of a polygon is (n-2) *180, where n is the number of sides. Then you would divide the sum by the number of sides to find what one angle is.

Knowing the angle you can calculate n ( number of sides):

(n-2) * 180 / n = 135

Use distributive property:

180n - 360 / n = 135

Multiply both sides by n:

180n - 360 = 135n

add 360 to both sides:

180n = 135n + 360

Subtract 135n from both sides:

45n = 360

Divide both sides by 45:

n = 360 / 45

n = 8

The polygon has 8 sides.

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Molodets [167]

Step-by-step explanation:

First;

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y to 4th power=y⁴

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expression=x³ × y⁴

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3 years ago

Write an equation that represents the following statement. Five less than the product of r and two is 3.

liraira [26]

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2 years ago

Will bought 3 college textbooks. One cost 32$, one cost 45$, and one cost 39$. What is the average price of his book?

Damm [24]

Answer:

The average of all textbooks is $38.60.

Step-by-step explanation:

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Therefore getting our answer of $38.60.

If this helps hit the thank button!

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4 years ago

Below are the results of tossing a number cube 7times. Find the experimental probability of tossing an even number. 6 4 3 2 5 3

Daniel [21]

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7 0

3 years ago

Read 2 more answers

Which of the following is NOT a rational number?

makvit [3.9K]

Answer:

A rational number is a number that can be expressed as a fraction (the ratio of two integers).

Integer: A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

$\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}$

$\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}$

$\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}$

$\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}$

Therefore, $\sf \sqrt{12.1}$ is not a rational number.

5 0

2 years ago