WILL GIVE BRAINLIEST IF FULL COMPLETE CORRECT ANSWER IS GIVEN.
1 answer:
Answer:
a. ABCDEFHILO
b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle
c. HLNOPQ
d. ABCD EFGH IJKL MNOP Q
Step-by-step explanation:
a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.
Possible regular polygons are ...
ABCDEFHILO
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b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle
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c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.
Possible regular polygons are ...
HLNOPQ
__
d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. On<em>ly </em><em>polygons R, S, T cannot be convex</em>.
Possible convex polygons are ...
ABCD EFGH IJKL MNOP Q
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I hope this helps you
Answer:
2n³ - 3n² - 7n + 3
Step-by-step explanation:
Hi there! Don't worry, polynomials seem hard but you will get them with practice.
I am going to show you 2 methods of multiplying polynomials. These methods are universal, or they work with any polynomial multiplication problem:
<h2>Method 1: Distributive Property</h2>This is perhaps the most common method. You distribute 1 value to another or multiply each and every single term.
Let's solve it!
- (n² - 3n + 1)(2n + 3)
- n²(2n + 3) - 3n(2n + 3) + 1(2n + 3)
- n²(2n) + n²(3) - 3n(2n) - 3n(3) + 2n + 3 See how I distributed the values?
- 2n³ + 3n² - 6n² - 9n + 2n + 3
Now, we add up like terms. Like terms should have the same coefficient and should be raised to the same power.
- 2n³ + 3n² - 6n² - 9n + 2n + 3
- 2n³ - 3n² - 7n + 3
There you have it! This is how you solve with The distributive Property Method.
<h2>Method 2: Area Model</h2>This is the next universal method, Area modeling.
Area models can be set up by the number of terms we have. In the first polynomial we have three terms:
- n²
- -3n
- +1
Just for this method, keeping the positive signs helps.
For the binomial, we have two terms (hence, binomial)
- 2n
- +3
We set up our are model like this, with the terms laid out as side lengths of a rectangle. (Attachment "A")
Next, we find the area of each individual tile. (Attachment "B")
Now, we add like terms. Something nice about area models is that most of the time, the like terms are matched up in a diagonal. (Attachment "C")
- 2n³ + 3n² - 6n² - 9n + 2n + 3
- 2n³ - 3n² - 7n + 3
We end up with the same answer as before.
-Chetan K
