All categories

3 years ago

The sum of the measures of a regular 25 sided polygon is 4140 degrees. What is the measure of each interior angle?

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Answer: 165.6

Step-by-step explanation:

The formula for finding the interior angle of a polygon is

= (2n - 4) x right angle

= (2n - 4)90 ,or

(n - 2)180

Now since the sum total of the interior angle of the 25 sided regular polygon = 4140 using the formula above,

Therefore, the value of each of the interior angle will be

= 4140/25

= 165.6

You might be interested in

SOMEOne PLS EXPLAIN VERTICAL ASYMPTOTES TO ME IM DYING- i need to know how u get the asymptote(explanation) and answer T^TTTTTTT

Kitty [74]

A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.

In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.

Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.

So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”

4 0

2 years ago

Find the value of a.<br> A. 58<br> B. 130<br> C. 86<br> D. 65

tatiyna

Answer:

$C. \ \ \ 86$ °

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

$a = c$

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

$86=\frac{a+c}{2}$

Substitute,

$86=\frac{a+c}{2}$

$86=\frac{a+a}{2}$

Simplify,

$86=\frac{a+a}{2}$

$86=\frac{2a}{2}$

$86=a$

5 0

2 years ago

Sorry for the bad quality.

ser-zykov [4K]

Answer:

B and C

Step-by-step explanation:

8 0

3 years ago

The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.

Ilya [14]

Answer:

62.84

Step-by-step explanation:

Volume of both cones is approximately 12.57

formula= pi*r^2*h/3

Volume of the cylinder is approximately 37.7

formula= pi*r^2*h

you add the volumes

12.57+12.57+37.7

= 62.84

8 0

3 years ago

HELP PLEASE I HAVE ONLY A FEW MINUTES TO GET THIS DONE.

oee [108]

Answer:

x=5.5

Step-by-step explanation:

LN and KM intersect and are in the same rectangle, which makes them the same line essentially. Set 49 equal to 6x+16 and then solve to get x by itself.

5 0

2 years ago

Read 2 more answers