Find the measure of each exterior angle for a regular hexagon. Round to the nearest tenth if necessary.
Answers
The measure of each exterior angle for a regular hexagon is 60⁰.
What is Hexagon?
A hexagon is a six-sided polygon or 6-gon. The total of the internal angles of any simple hexagon is 720°.
In a regular Hexagon, all sides are same size and measure of all interior angles are same.
The sum of interior angles of hexagon is (n−2)×180⁰
where n is number of sides of polygon. (6−2)×180⁰ = 720⁰.
here n=6 because hexa means 6
Each interior angle =720⁰/6=120⁰
As we know that the sum of interior and exterior angles is 180⁰
Exterior angle + interior angle =180⁰
Exterior angle +120⁰ = 180⁰
Exterior angle =180⁰−120⁰ = 60⁰
Thus, the measure of each exterior angle for a regular hexagon is 60⁰.
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Answer:
Let's solve the problem step-by-step:
We are given that the sum of three numbers is 2100. Let's call the first number x and the other two numbers y and z.
From the information given, we know that x = y + z, and y = z (the other two numbers are equal to each other).
Substituting y = z into x = y + z, we have x = 2z.
We are also given that the sum of the three numbers is 2100. So, we can write the equation x + y + z = 2100.
Substituting x = 2z and y = z, we have 2z + z + z = 2100.
Simplifying the equation, we have 4z = 2100.
Dividing both sides of the equation by 4, we find z = 525.
Substituting z = 525 back into y = z, we find y = 525.
Finally, substituting z = 525 and y = 525 back into x = 2z, we find x = 1050.
Therefore, the three numbers are x = 1050, y = 525, and z = 525.
Among the options provided, the correct answer is A) (1050, 525, 525).
Answers
90
9
10
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Answer:
Option (c) is correct.
The value of x is 9.
Step-by-step explanation:
Given : Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively.
We have to find the value of x.
Two angles are said to be complementary if the sum of measure of angle is 90°.
Given (7x + 2)° and (3x – 2)° are complementary angles.
That is sum of (7x + 2)° and (3x – 2)° is 90°
⇒ (7x + 2)° + (3x – 2)° = 90°
⇒ 7x + 2 + 3x - 2 = 90
⇒ 10x = 90
⇒ x = 9
Thus, the value of x is 9.
Hence, option (c) is correct.
a) Multiply the previous term by -2
b) Divide the previous term by -2
c) Subtract 600 from the previous term
d) Add -200 to the previous term
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The answer is B) because you are dividing by 2 each time, and changing the sign before the number.
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sin(a+b)=sinαcosβ+cosαsinβ
In our exercise :
α=3x β=2x
sin3xcos2x+cos3xsin2x=sin(3x+2x)=sin(5x)
Result is : sin5x
Answers
Now we use the cosine theorem to get third side