In the figure,ABC is congruent to ADC . If the square ABCD is dilated by a factor of 2 to form A'B'C'D', what is the ratio of the area ofA'B'C'D' to the area of ABCD?

Answers

Answer 1

Answer: In the figure,ABC is congruent to ADC . If the square ABCD is dilated by a factor of 2 to form A'B'C'D', the ratio of the area of A'B'C'D' to the area of ABCD is 1/2. Since the dilation is by a factor of 2, so the area of the A'B'C'D' should be smaller than the area of ABCD.

Answer 2

Answer:

Answer:

for plato or gradpoint answer is 4:1 i got it correct :)

Step-by-step explanation:

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Sara has some fish, 2 birds, and 5 hamsters. She has 6 fewer hamsters than fish.How many fish does she have?

Answers

Answer: There are 11 fish she have.

Step-by-step explanation:

Since we have given that

Number of birds = 2

Number of hamsters = 5

Let the number of fish be 'x'.

According to question, she has 6 fewer hamsters than fish.

So, our equation becomes

$f-h=6\n\nf-5=6\n\nf=6+5\n\nf=11$

Hence, there are 11 fish she have.

There are 5 hamsters. If she has 6 fewer hamsters than fish, that means x-6=5
which means 5+6=11 so there are 11 fish.
The answer is 11

Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.x. -15
15
-16
16
y.
-16
16
-21
21
In the relationship between x and y,
.x is always less than y
.some x values are greater than y
.x is always less than or equal to y
.y is always less than x

Answers

-150x ≥ -2400
⁻¹⁵⁰ˣ/₋₁₅₀ ≥ ⁻²⁴⁰⁰/₋₁₅₀
x ≤ 16

-336 ≥ -21y
⁻³³⁶/₋₂₁ ≥ ⁻²¹/₋₂₁y
16 ≤ y
y ≥ 16

In the relation between x and y, x is always less than or equal to y. The answer is equal to C.

A function is a rule that assigns each value of the _____ variable to exactly one value of the dependent variable.

Answers

Using the function concept, it is found that:

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

--------------------------------

A function has the following format: $y = f(x)$

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

The input is x and the output is y.
Then, the word independent completes the sentence.

A similar problem is given at brainly.com/question/21084589

Answer:

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

We have been an incomplete statement. We are asked to complete the given statement.

We know that a function is a relation between two sets. A relation is known as function when each input in the domain has exactly one specific corresponding output.

We also know that independent variable is known as input of function and dependent variable is known as output of function.

Therefore, the correct word for given statement would be independent variable.

1. Which describes the work of Nicolaus Copernicus?a. experimenting on human bodies

b. inventing analytic geometry

c. developing a heliocentric theory

Question 2.2. Which was not an accomplishment of Galileo Galilei?
a. creating a powerful telescope

b. writing the Principia Mathematica

c. confirming that the earth revolves around the sun

Question 3.3. Which best describes the influence of Isaac Newton's theory of universal gravitation?
a. It led to new insights into the nature of light.

Answers

1. Which describes the work of Nicolaus Copernicus?
c. developing a heliocentric theory

2. Which was not an accomplishment of Galileo Galilei?

c. confirming that the earth revolves around the sun

3. Which best describes the influence of Isaac Newton's theory of universal gravity?

It showed that the universe follows a set of predictable rules

Final answer:

Nicolaus Copernicus developed the heliocentric theory. Galileo Galilei did not write the Principia Mathematica but he did confirm the earth revolves around the sun with his improved telescope. Isaac Newton's theory of universal gravitation significantly advanced our understanding of the physical universe.

Explanation:

Nicolaus Copernicus is renowned for developing the heliocentric theory, according to which the sun is the centre of the universe and the earth and other planets revolve around it. This answer corresponds to option C in your question. Galileo Galilei, on the other hand, did not write the Principia Mathematica. This work was written by Sir Isaac Newton, and thus corresponds to option B of your second question. Galileo is well-known for advancing the telescope technology, and his observations confirmed the heliocentric system.

As for your third question, Isaac Newton's theory of universal gravitation revolutionized our understanding of the physical universe. While it did lead to new insights into light, it's most significant contribution is perhaps its explanation of how objects in the universe are attracted to each other, demonstrating that the same forces are at work in the heavens and on earth.