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TEA [102]
3 years ago
7

Find the measure of one interior angle for the following regular polygon

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

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Helpppp meeee fassttt pleaseeee
Yuki888 [10]

Answer:

 y = -1/3x + 3 2/3

Step-by-step explanation:

step 1. find the slope of the given line

y2-y1/x2-x1          2 - 4/ 3 + 3 = - 1 / 3

take the opposite of that and there is your slope

step 2. plug in the values to the following equation using the given point:

y - y1 = m ( x - x1 )          y - 4 = - 1/3 ( x + 1 )

step 3. solve for y

y-4 = -1/3(x+1)

-1/3(x) and -1/3(1)  ----> y-4 = -1/3x-1/3

y-4+4 = -1/3x-1/3+4  ---->  y = -1/3x + 3 2/3

<em>hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays</em>

3 0
2 years ago
1.The base length of a rectangle is multiplied by 8. How does this affect the area?
stiv31 [10]

Answer:

1. C - 8x bigger

2. D - 16x bigger

3. A - 3x bigger

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
WIll give brainliest
mojhsa [17]

Answer:

Judges could reverse a trial verdict

Step-by-step explanation:

The appellate court will do one of the following:

Affirm the decision of the trial court, in which case the verdict at trial stands.

Reverse the decision to the trial court, in which case a new trial may be ordered.

Remand the case to the trial court.

7 0
3 years ago
Read 2 more answers
if A= (-1, -3) and B= (11, -8) what is the length of AB A) 14 units B) 11 units C) 13 units D) 12 units
Anastasy [175]
Distance is the formula : 

DAB = \sqrt{(xA - xB)^2  + (yA - yB)^2}
 
so 

\sqrt{(-1 - 11)^2 + (-3 + 8)^2}

= 13 

Answer is C)


5 0
3 years ago
Which statement describes values of x and y such that could be an irrational number? A. The value of x is zero, and the value of
cestrela7 [59]

Answer:

Negative integers, or numbers below zero, are still whole numbers- just not positive whole numbers. This should help you.

Step-by-step explanation:

6 0
3 years ago
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