This cube has a volume of 1 cubic millimeter. What is the side length of the<br> cube?

If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?

kirill [66]

A regular polygon with exterior angle of 7.2 degrees is a 50-gon.

<h3>Regular polygon</h3>

Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.

The formula to find the number of sides of a polygon using exterior angle is as follows:

exterior angle = 360 / n

where

n = number of sides

Therefore,

7.2 = 360 / n

cross multiply

7.2n = 360

divide both sides by 7.2

n = 360 / 7.2

n = 50

The polygon has 50 sides. Therefore, it is a 50-gon

learn more on polygon here: brainly.com/question/12105506

8 0

2 years ago

Which shapes can be drawn with two opposite angles equal to 105°

sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

$360^o-2(105^o)=150^o$

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

$180^o-105^o=75^o$

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

$180^o-105^o=75^o$

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

$360^o-2(105^o)=150^o$

4 0

2 years ago

To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours

8090 [49]

Answer:

The intial fee is $5

The equation to represent this is: y=12x+5

12 is the cost per hour x=hours y=total cost

Step-by-step explanation:

77-41=36

36/3=12

12*6=72

77-72=5

6 0

3 years ago

Which of the following represents the solution to the inequality

amid [387]

Answer:

the question?

Step-by-step explanation:

5 0

3 years ago

If everything in a store is 20% off, and the discounted price of an item is $18.00, what is

jasenka [17]

The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

<h3>What is the percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

If everything in a store is 20% off, and the discounted price of an item is $18.00

Let's suppose the regular price is x

(100-20)% of x = 18

80x/100 = 18

x = $22.5

Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

Learn more about the percentage here:

brainly.com/question/8011401

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6 0

2 years ago

This cube has a volume of 1 cubic millimeter. What is the side length of the cube?