It takes 2 1/2 poster boards to display half of your project. How many poster boards will you need for your entire project?

What's the size of angle x?

fiasKO [112]

51 is the correct answer becouse this x is correspond angle.

4 0

1 year ago

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What is the image point of (1,-2)after a translation right 4 units and down 4 units?

den301095 [7]

By applying the concept of translation, we conclude that the image point of (1, - 2) is equal to the point (5, - 6).

<h3>What is the image of a point by rigid translations?</h3>

In this problem we have a point set in a Cartesian plane, which has to be translated to determine the coordinates of a resulting point. Translations are examples of rigid transformations, these are, transformations applied on geometric loci such that Euclidean distance is conserved.

Vectorially speaking, translations are modelled by the following formula:

P'(x, y) = P(x, y) + T(x, y) (1)

Where:

P(x, y) - Original point
P'(x, y) - Resulting point
T(x, y) - Translation vector

If we know that P(x, y) = (1, - 2) and T(x, y) = (4, - 4), then the resulting point is:

P'(x, y) = (1, - 2) + (4, - 4)

P'(x, y) = (5, - 6)

By applying the concept of translation, we conclude that the image point of (1, - 2) is equal to the point (5, - 6).

To learn more on rigid transformations: brainly.com/question/1761538

#SPJ1

5 0

1 year ago

Distance from Town A to Town B is divided into 8 equal parts. So far, the bus has traveled 12 miles. How far apart are Town A an

mars1129 [50]

The distance between the towns is the number of miles between them

Town A and town B are 24 miles apart.

From the complete question, 4 parts are shaded.

The four parts represent the distance traveled by the bus.

So, we have:

$\mathbf{4\ parts = 12\ miles}$

Multiply both sides by 2, to get 8 parts

$\mathbf{4\ parts \times 2= 12\ miles \times 2}$

$\mathbf{8\ parts = 24\ miles}$

Rewrite as:

$\mathbf{AB= 24\ miles}$

Hence, town A and town B are 24 miles apart.

Read more about distance at:

brainly.com/question/9056440

4 0

2 years ago

A community theater sold 8,500 tickets to performances during its first year. By its tenth year, ticket sales had increased by 3

Flura [38]

We need to increase 8,500 by 34%

Therefore, multiply 8,500 by 1.34 

Answer: 11,390 tickets in its 10th year

5 0

3 years ago

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McDonald's is the king of the burger world, as it has more hamburger joints than any other restaurant chain. In 2013, McDonald's

fgiga [73]

It is given that in 2013, McDonald's had 14267 locations in the US. It is also given that the population of the US was approximately 316.5 million citizens in 2013. Now, we know that 316.5 million=316500000.

Therefore, in order to find the number of McDonald's restaurants per capita in the US in 2013 all that we have to do is divide the number of McDonald's restaurants in 2013 with the population of the same year.

Thus, we get, number of McDonald's restaurants per capita in the US in 2013 to be:

$\frac{14267}{316500000}\approx4.508\times10^{-5}$ (the answer has been expressed in scientific notation rounded correctly to three decimal) places.

8 0

2 years ago

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