How are the areas of two similar figures related

Answers

Answer 1

Answer: If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Related Questions

What are the coordinates of the fourth point that could be connected with (–4, 0), (1, 0), and (1, –3) to form a rectangle? A.(–3, –4)B.(–3, 1)C.(1, –4)D.(–4, –3)
I don't get area and the distributive property
Callie has 83 postcards in her collection. Of the postcards, 24 are from Canada. The rest of the postcards are from United States. How many of the postcards are from the United States?
The total number of eggs, T, collected in one day from a chicken coop is proportional to the number of chickens, C, in the coop. If each chicken laid the same number of eggs, 4, which equation could be used to find the total number of eggs collected from the coop?
Square A and rectangle B have the same width. The length of rectangle B is 4 cm greater than its width. The area of rectangle B is 20 cm greater than the area of square ASet up an equation and solve it to find the area of square A.-Thanks! :D

Emily is a very good student. She is more likely to attend class than to miss class. Which could be t.he probability that she misses class tomorrow?a. -0.4
b. 0.1
c. 0.7
d. 1.2
(PLEASE EXPLAIN HOW YOU RECEIVED YOUR ANSWER)

Answers

The correct answer is 0.1. C and D can automatically be eliminated because Emily is a good student who is likely to attend school. This leaves A and C, but A can be eliminated because there is still a possibility Emily will miss class.

What does 4.32 tons equal in pounds? How do you solve it? What are the steps you've used?

Answers

1 ton = 2000 Pounds(lb)
4.32tons * (2000lb/1ton) (tons cancel)
= 4.32 * 2000lb
= 8600lb

Please do the area and perimeter and show your work!

Answers

number 1 is 12 for the area and 12 for the perimeter number 2 is 29 for the area and the perimeter is 24

3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

Answers

Answer:

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3. Thus, the solution is x = 3.

Final answer:

Using exponent rules and logarithms, the given equation can be simplified and solved to find that x equals 3.

Explanation:

The subject of the question falls into the field of Mathematics, specifically exponent rules, which are used in High School level algebra. In the mathematics problem provided ('3 to the 10th power = 3 to the 7th power times x to the 3rd power'), we need to solve for x using the knowledge of exponents.

First, it's helpful to know that when two expressions with the same base (in this case, 3) are set equal to each other, their exponents must also be equal. Since we know that 3 to the 7th power times x to the 3rd power equals 3 to the 10th power, we can break this down further. This leads to the equation 7 + 3log(x) = 10, where 'log' represents the logarithm.

By simplifying the equation, we get 3log(x) = 10-7, so 3log(x) = 3. Therefore, log(x)=3/3, hence log(x)=1. If we apply anti logarithm on both sides, we'll find that x = 3 to the power of 1, so x = 3. In other words, 3 to the 3rd power will equal3 to the 10th power divided by 3 to the 7th power. Hence, the value of x is 3.

Learn more about Exponent Rules here:

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Victor drew a quadrilateral with no right angels and 4 sides of equal length. What quadrilateral could Victor have drawn ?

Answers

Answer:

Rhombus

Step-by-step explanation:

We are given that Victor drew a quadrilateral with no right angles and 4 sides of equal length.

We have to find that what type of quadrilateral Victor could have drawn

We know that

A quadrilateral in which four sides of equal length can be square or rhombus.

But in square all angles of square are right angles.But Victor draw a quadrilateral in which no right angles .Therefore, the quadrilateral drawn by Victor could be rhombus because in rhombus all sides of equal length but no right angles.

A square can be rhombus but rhombus can not be square .Hence, the quadrilateral drawn by Victor is a rhombus .

It is Rombus because it has no right angles but it has 4 equal sides.It looks like a square that's kind of bent

The lid for a circular plastic food container has a diameter of 9 cm.What is the approximate area of the top of the lid? Use 3.14 to approximate pi and round your answer to the nearest hundredth.

_____cm2

Answers

If the diameter is 9 cm the radius is 4.5 cm (half the diameter). The area of a circle is given by the formula: 4πr^2, where π is the constant ratio of circumference to diameter (3.14159...).

3.14 cm x 4.5 cm = 14.13 cm^2. Remember, the units must be squared to represent area. 14.13 is extended to the nearest hundredth.

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