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2 years ago

What is the measure of each interior angle of a regular 12-gon?

Mathematics

1 answer:

Alexxandr [17]2 years ago

4 0

Answer:

Once you know the sum, you can divide that by 12 to get the measure of each interior angle: 1800°/12 = 150°

Step-by-step explanation:

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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

ivann1987 [24]

Step-by-step explanation:

We have to find the measures of other two angles of triangle.

$\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}$

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

$\rule{200}{3}$

$\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}$

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

$\rule{200}{3}$

Second AnglE :

3x
3 × 10
30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

$\rule{200}{3}$

Third AnglE :

14x
14 × 10
140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0

2 years ago

How do I get it to equal zero

Mashutka [201]

Answer:

multiply it by zero

Step-by-step explanation:

zero times anything is zero

7 0

3 years ago

there are 8 students on the minibus. five of the students are boys. what fraction of the students are boy

meriva

Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is = 5/8
this fraction means and shows that there are 5 students are boys from 8 students.

3 0

3 years ago

Pls answer ASAP I’ll give brainliest

Vikki [24]

Answer:

I believe it would be either the 30° or the 60° the image is a little blurry .

3 0

2 years ago

Read 2 more answers

What is the relationship between translations, reflections, and ridgid motion?

vivado [14]

The relationship between translations, reflections, and rigid motion is that they are all types of rigid motions, which means their size does not change.

<h3>What exactly is rigid motion?</h3>

Rigid motion is the movement of a set in which the distance between points remains constant.

<h3 /><h3>What is translation?</h3>

Translation is a type of rigid motion in which an object simply slides while maintaining its direction.

<h3 /><h3>What do you mean by reflection?</h3>

A reflection, like a mirror, causes an image to flip to another location.

We must establish a connection between translations, reflections, and rigid motion.

We can conclude from the above definitions that the size of the object remains constant, but it is undergoing different transitions.

Therefore, Translations, reflections, and rigid motion all belong to the category of transformations that are rigid motions, which means that their sizes don't change.

Learn more about motion here-

brainly.com/question/22810476

#SPJ10

7 0

10 months ago