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SCORPION-xisa [38]
3 years ago
9

Which pair of ratios forms a proportion?​

Mathematics
2 answers:
bogdanovich [222]3 years ago
8 0

Answer:

a

Step-by-step explanation:

r-ruslan [8.4K]3 years ago
3 0

Answer: The correct answer is 6:16 and 9:25. I hope that this helps you!

Step-by-step explanation:

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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
Write the equation of the line with the given slope and y-intercept
goldenfox [79]

Answer:

A) y = x - 3/4

Step-by-step explanation:

The equation of the line with slope m and intercept b is

y = mx + b

Here were have slope = m = 1.

y-intercept = b = -3/4

Equation:

y = mx + b

y = 1x + (-3/4)

y = x - 3/4

Answer: A) y = x - 3/4

4 0
2 years ago
(Repost) please help what is 7 7/10 rounded to the nereast whole number?? please explain your answer if you got it cause I can L
Finger [1]
It’s eight because 7 can round up so it changed to eight
7 0
3 years ago
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What is the volume of wax needed for the candle in the shape of a prism?
Vesnalui [34]

Answer:

Step-by-step explanation:

You need answer choices for someone to answer.

6 0
3 years ago
How many inches are equivalent to 2 miles
iris [78.8K]
2 miles is equivalent to 126720 inches.
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