Well each ladder has 30, and then it depends on how each person climbs their ladder. One climb at the rate of -2 per second. The other climb at the rate of 1 per second. Just x is equal to 1, that's why I didnt put 1x.
Equation: 30 + -2x = 30 + x
Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.
1. Rotational Symmetry: -
It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘
2. Centre of rotation: -
The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.
3. Angle of Rotational Symmetry: -
The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘
4. Order of Rotational Symmetry: -
The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘
, so its order of rotation will be 3.
In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.
Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.
We know that a regular pentagon has 5 sides.
<h3> Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.</h3>
Answer:
<em>Measure of one of the interior angles ⇒ 90°</em>
Step-by-step explanation:
If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;
Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;
So if all these angles are ≅, we can claim that;
m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles
x + x + x + x = 360 degrees ( ° ),
4x = 360°,
x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,
<em>Solution; Measure of one of the interior angles⇒ 90°</em>
B°a means that we plug a into the x value of b and go from there. In this case, we get
(using the distributive property) and we have to figure out what the domain is. The domain is what x can equal, and since you can't have a square root of a negative number, 3(x-1) has to be greater than or equal to 0. Solving for that, we get 3(x-1)≥0. Dividing both sides by 3, we get x-1≥0. Next, we can add 1 to both sides to get x≥1. In interval notation, [1 encompasses 1 while (1 is everything above 1. In addition, it doesn't have to be less than anything, so we have ∞) at the end, making it [1, ∞). We have the parenthesis at the end because it doesn't include infinity, but everything less than it
Answer:
about 748.2 ft^2
Step-by-step explanation:
We can break up the hexagon of side length 12 into 6 congruent equilateral triangles of side lengths 12. Thus by finding the area of 1, we can multiply it by 6 to get the area of the hexagon.
Formula for area of equilateral triangle: ((side^2)√3)/4
We plug in the side as 12, and we get 72√3
We then multiply by 6 to get the approximate answer of 748.2 ft^2
Please give me a brainly comment. It really helps, i hope i helped you :)