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Zinaida [17]
4 years ago
14

The polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is_____.

Mathematics
1 answer:
Yuki888 [10]4 years ago
7 0
Answer: 180*(n-2)

You can write it as 180(n-2)

-------------------------------------------

For example, if n = 4, then 180(n-2) = 180*(4-2) = 360 meaning that the angles of a quadrilateral add to 360 degrees.
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A minivan can hold up to 7 people how many minivans are needed to take 45 people to a basketball game?
Tanya [424]
Hey there!
All you have to do is simply divide!

45/7= about 11 vans
4 0
3 years ago
Read 2 more answers
How can the Pythagorean Identity be used to find sin θ, cos θ, or tan θ and the quadrant location of the angle?
Archy [21]

First lets see the pythagorean identities

sin^2 \Theta + cos^2 \Theta =1

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

sin^2 \Theta = 1-cos^2 \Theta => sin \theta = \pm \sqrt{1-cos^2 \Theta}

Now we need to check the sign of sin theta

First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.

So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .

5 0
3 years ago
A coral reef grew 3000 millimeters taller. How much did it grow in meters?
ANTONII [103]
3 meters equals 3000 mm
3 0
3 years ago
Which table represents an arithmethic sequence?
Fiesta28 [93]

Table 3  represents an arithmetic sequence.

Solution:

To find which table represents an arithmetic sequence:

In arithmetic sequence difference of each term is equal.

d=a_n-a_{n-1}

Table 1:

d=a_2-a_1

  = –12 – (–6)

d = –6

d=a_3-a_2

  = –24 – (–12)

d = –12

Here differences are not equal.

So table 1 not represents an arithmetic sequence.

Table 2:

d=a_2-a_1

  = 9 – 7

d = 2

d=a_3-a_2

  = 13 – 9

d = 4

Here differences are not equal.

So table 2 not represents an arithmetic sequence.

Table 3:

d=a_2-a_1

  = 7.3 – 8.7

d = –1.4

d=a_3-a_2

  = 5.9 – 7.3

d = –1.4

d=a_4-a_3

  = 4.5 – 5.9

d = –1.4

d=a_5-a_4

  = 3.1 – 4.5

d = –1.4

Here differences are equal.

So table 3 represents an arithmetic sequence.

8 0
3 years ago
PLZ HELP ME
Nat2105 [25]
You need at least 2 congruent angles , or 3 proportional sides , or 2 proportional sides and 1 congruent angle to prove that 2 triangles are similar.
I presume that there should be a picture attached to this question , but if you only have 1 side in proportion ( x ) , you cannot prove the similarity of two triangles.

But if there already were two proportional sides or 1 proportional side and one congruent angle , you can prove they are similar if x = 48

Hope it helps
7 0
3 years ago
Read 2 more answers
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