All categories

3 years ago

Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.

Mathematics

1 answer:

Juliette [100K]3 years ago

4 0

Answer:

Paolo made an error when he cross multiplied the proportion

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem the figures are similar

using proportion

$\frac{3}{12}=\frac{x}{8}$

solve for x

Multiply in cross

$(3)(8)=(12)(x)\\24=12x\\x=2$

therefore

Paolo made an error when he cross multiplied the proportion

You might be interested in

24.Jill has $800 and is spending $30 per week. Gill has $150 and is saving $20

attashe74 [19]

Jill and Gill will have the same amount of money in week 13, they will both have $410.

5 0

3 years ago

Read 2 more answers

your customer count for last week was 5417. Due to a product promotion you expect a 2.4% increase this week over last week. how

Sauron [17]

The answer would be 5547
First you multiply 5417 and 2.4% to get 130.008
Then you add 130.008 and 5417 to get 5547.008
but you can round this to 5547
Hope this helped! :)

6 0

3 years ago

Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7

aliya0001 [1]

Answer:

They are perpendicular

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. This means the lines are perpendicular.

4 0

3 years ago

If A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}, find A Intersects with B.

kirill115 [55]

Answer is A.
{2, 4}
................................................

8 0

3 years ago

Write the equation of the circle that has a center of (-7, 17) with a radius of V19.

kipiarov [429]

I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at (h,k) and radius r is given by ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ . Now , using same concept in this question ;

${:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}$

This is the required equation of Circle 

8 0

2 years ago