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3 years ago

Determine whether each regular polygon tessellates the plane. Explain.

2 answers:

7 0

The exterior angle is always supplemental (adds up to 180°). So if the interior angle is 135°, the exterior angle will be 45°. This is because an exterior angle is formed by extending one side out and measuring the new exterior angle.

kondaur [170]3 years ago

3 0

Answer:

b. no; measure of interior angle = 135°

Step-by-step explanation:

A regular polygon can only tessellate the plane when its interior angle divides 360 degrees.

The polygons that tessellate are - the square, the equilateral triangle, and the regular hexagon.

The octagon cannot tessellate because its internal angle does not divide 360 degrees. Tessellation means an arrangement of polygons in a repeated pattern without overlapping.

The internal angle of an octagon is 135 degrees. When we divide 360 by 135 we get,

$\frac{360}{135}= 2.66$ Its not a complete number this is why octagons do not tessellate.

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Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?

Ray Of Light [21]

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that $x + y = 1.8$ .

As we want y, we have that $x = 1.8 - y$

Lemonade costs 1.00 more than the cookie?

This means that:

$y = x + 1$

$y = 1.8 - y + 1$

$2y = 2.8$

$y = \frac{2.8}{2}$

$y = 1.4$

The lemonade costs 1.4.

5 0

3 years ago

Drag each measure to a box on the right to match the measure on the left. 5 feet10,560 feet48 inches126 inches 2 miles 123 yards

charle [14.2K]

Answer:

4 feets = 48 inches

2 miles = 10,560 feets

1 2/3 yards = 5 feets

3 1/2 yards = 126 inches

Step-by-step explanation:

Recall :

1 Feet = 12 inches

1 MILE = 5280 feets

1 yard = 36 inches

1 yard = 3 feets

If 1 feet = 12 inches

4 feets will be ; (12 * 4) inches = 48 inches

If 1 mile = 5280 feets

2 miles will be ; (5280 * 2) = 10,560 feets

If 1 yard = 3 feets

1 2/3 yards will be ; (5 /3) * 3 = 5 feets

If 1 yard = 36 inches

3 1/2 yards will be ; (7 /2 ) * 36 = 126 inches

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3 years ago

Is the relationship between gross box office sales and home video units significant? how can you tell? do you think the linear m

aalyn [17]

The linear model is the best fit for the relationship.

According to the statement

we have given that the relationship between gross box office sales and home video units significant and the linear model is the best fit for the relationship.

And we explain all the given statements.

So, For this purpose, we know that the

Since the p-value of the independent variable, 0.0000, is less than 0.05, we can be 95% confident that there is a significant linear relationship between gross box office and home video units.

And the

linear model is used in different ways according to the context. The most common occurrence is in connection with regression models.

So, the linear model is appropriate for the comparisons.

So, The linear model is the best fit for the relationship.

Learn more about linear model here

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2 years ago

the figure is made up of a cylinder and a half sphere. what is the volume of the composite figure? use 3.14 for pi. round to the

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