Let's denote the number of sides of the first regular polygon as "n" and the number of sides of the second regular polygon as "m."
The ratio of the measures of their interior angles is given as 4:3. This means that the interior angle of the first polygon is 4x degrees, and the interior angle of the second polygon is 3x degrees, where x is a positive constant.
Now, we know that the sum of interior angles in any polygon can be calculated using the formula: (n - 2) * 180 degrees, where "n" is the number of sides.
For the first polygon, with interior angle 4x degrees, the sum of interior angles is (n - 2) * 180 degrees.
For the second polygon, with interior angle 3x degrees, the sum of interior angles is (m - 2) * 180 degrees.
Since the ratio between the sums of their interior angles should also be 4:3, we can write:
[(n - 2) * 180] / [(m - 2) * 180] = 4/3
Now, we can simplify this equation:
(n - 2) / (m - 2) = 4/3
Cross-multiply:
3(n - 2) = 4(m - 2)
Expand and simplify:
3n - 6 = 4m - 8
Now, isolate one of the variables, for example, n:
3n = 4m - 8 + 6
3n = 4m - 2
Divide both sides by 3:
n = (4m - 2) / 3
So, the ratio of the number of sides between the two regular polygons is (4m - 2):3.
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Hey dear
I also need your intro
My intro is given below:-
NAME - Tannishtha
CLASS - 8th
AGE -13
COUNTRY - India
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Step-by-step explanation:
Let's denote the number of sides of the first regular polygon as "n" and the number of sides of the second regular polygon as "m."
The ratio of the measures of their interior angles is given as 4:3. This means that the interior angle of the first polygon is 4x degrees, and the interior angle of the second polygon is 3x degrees, where x is a positive constant.
Now, we know that the sum of interior angles in any polygon can be calculated using the formula: (n - 2) * 180 degrees, where "n" is the number of sides.
For the first polygon, with interior angle 4x degrees, the sum of interior angles is (n - 2) * 180 degrees.
For the second polygon, with interior angle 3x degrees, the sum of interior angles is (m - 2) * 180 degrees.
Since the ratio between the sums of their interior angles should also be 4:3, we can write:
[(n - 2) * 180] / [(m - 2) * 180] = 4/3
Now, we can simplify this equation:
(n - 2) / (m - 2) = 4/3
Cross-multiply:
3(n - 2) = 4(m - 2)
Expand and simplify:
3n - 6 = 4m - 8
Now, isolate one of the variables, for example, n:
3n = 4m - 8 + 6
3n = 4m - 2
Divide both sides by 3:
n = (4m - 2) / 3
So, the ratio of the number of sides between the two regular polygons is (4m - 2):3.
Answer:
The simplest way to introduce yourself in Chinese is to say 你好 (nǐ hǎo) meaning “hello” and 我叫 (wǒ jiào) meaning “my name is.” But, if you want to know even more about the different ways you can introduce yourself and information about you in Chinese, we're here to help.write a letter to your mother expressing your feelings, in French▬▬
Hey dear
I also need your intro
My intro is given below:-
NAME - Tannishtha
CLASS - 8th
AGE - 13
COUNTRY - India
Please give me your correct intro (◠‿◕)。◕‿◕。