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Oksanka [162]
2 years ago
5

Find the measure of each exterior angle of the polygon.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0
Since all the inside angles are 60, in order to add up to 180, the outside angles need to be 120.
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Help me with this one problem please :( <br> Find the following arc measures.
r-ruslan [8.4K]

Answer:

Arc KL =23

Arc OM =113

Step-by-step explanation:

We know that Angle NPM is equal to 90 degrees.

Therefore, Angle KPM is also equal to 90 degrees.

We are told that Arc LM is equal to 67.

Thus, the measure for Arc KL is equal to 90-67=23

We also know that Angle OPN is equal to Angle KPL.

Therefore, the measure of Arc ON=23

Using that information, we know that Arc OM is equal to 90+23=113

Hope I helped!

3 0
3 years ago
according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
3 years ago
Kristine is comparing the typing speeds of her friends. The following tables shows their typing speeds.
STALIN [3.7K]
Emma types the fastest
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3 years ago
move point c so the measure of the inscribed angle abc is 50. what is the measures of arc ac​
zhuklara [117]

Answer:100

Step-by-step explanation:

8 0
3 years ago
You and 2 friends share 7 cookies equally how many cookies do you each get
UkoKoshka [18]
Well 7/2=3.5 so i would say 3/1/2 i believe
8 0
3 years ago
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