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butalik [34]
2 years ago
11

Which would be the farthest from 0 20, -21, -20.5, or 21.5

Mathematics
2 answers:
Anna71 [15]2 years ago
8 0

Answer:

21.5 would be the farthest from 0

Step-by-step explanation:

because if you look at all the values without the negative it would be 20, 21, 20.5, 21.5

21.5 is the largest number so it would be the farthest from 0

hope this helps :)

8_murik_8 [283]2 years ago
6 0
21.5 is because it’s counting the same from 0 and 21.5 is the highest number
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1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o
tester [92]

Answer:

Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) The new figure and the original figure are not similar figures (see the explanation)

Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its perimeters is equal to the scale factor

so

The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor

Part 2) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the area of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its areas is equal to the scale factor squared

so

The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the  width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?​

we know that

If the dimensions were changed NON-proportionally, then the ratio of the corresponding sides of the new figure and the original figure are not proportional

That means

The new figure and the original figure are not similar figures

therefore

Corresponding sides are not proportional and corresponding angles are not congruent

so

<u><em>A) If the length of a rectangle was tripled, but the  width did not change?</em></u>

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2W ----> P=6L+2W

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

Area

The original area is A=LW

The new area  would be A=(3L)(W) ----> A=3LW

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

<u><em>B) If the length was tripled and the width was decreased by a factor of 1/4?</em></u>

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2(W/4) ----> P=6L+W/2

The perimeter of the new figure and the perimeter of the original figure are not proportionals

Area

The original area is A=LW

The new area  would be A=(3L)(W/4) ----> A=(3/4)LW

The area of the new figure is three-fourth times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

5 0
3 years ago
Please help!! ill give BRAINLIEST!!!
kenny6666 [7]

1. Isosceles, right.

2. Scalene, right.

3. Equilateral, acute.

4. Scalene, acute.

5. Isosceles, acute.

6. Scalene, obtuse.

7. Scalene, obtuse.

8. Scalene, obtuse.

9. Equilateral, acute.

10. Isosceles, obtuse.

3 0
3 years ago
Read 2 more answers
Need help with theses plz
Sergeeva-Olga [200]

Answer:

7. x=19      2x=38

8.x=23     3x=69

9.x=12      (50-2)/4=12

10.x=15     (31-1)/2

11.x=16      (84-4)/5

12.x=27     (55-1)/2

Step-by-step explanation:

if 2 angles are opposite, it's the same

8 0
3 years ago
In each of the following scenarios, determine if the data are paired.
zmey [24]

Answer:

1. Can be Paired or Not Paired

2. Paired

3. Not Paired

Step-by-step explanation:

Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set.

1. Can be Paired or Not paired

Reason -

We might look at testing the difference of means using a two sample t-test. However, we may also try running a paired t-test.

But its used in cases where the observations are usually from the same populations at different times or through different sources etc.

Hence can't conclude that it is paired or not paired.

2. Paired

Reason -

Each record is a price of the same item from different stores.

3. Not paired

Reason -

This is again a case of testing the difference of means of two-samples (2 independent samples precisely) that are not paired.

5 0
3 years ago
Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of page
Pepsi [2]

Based on the number of pages read and the time it was read in, the number of pages read per day was <u>44 pages. </u>

Marion read 616 pages and did this in 14 days.

She read the same number of pages each day so the number of pages read per day was:

<em>= Number of pages read in total / Number of days </em>

= 616 / 14

= 44 pages

In conclusion, she read 44 pages per day.

Find out more about divisional problems at brainly.com/question/13417862.

7 0
2 years ago
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