A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?

110110

1515

5

10

Answer:

Rotational

Step-by-step explanation:

Reflectional symmetry is when a figure can be folded in half through some given line and half each half congruent to the other.  There is no line through which to fold this figure, so there is no reflectional symmetry.

Rotational symmetry is when a figure can be turned some degree and be congruent to itself; This figure can be rotated 180°, so this has rotational symmetry.

Without the figure, it's impossible to determine the type of symmetry it has. Symmetry in mathematics can be reflectional, rotational, both, or none at all depending on the characteristics of the given figure.

To answer your question, we need the figure in order to determine the type of symmetry. In mathematics, symmetry can be classified as reflectional, rotational, both reflectional and rotational, or it can have no symmetry at all. Reflectional symmetry is when one half is the mirror image of the other half. Rotational symmetry is when the figure can be rotated to some degrees and still appears the same. The term doesn't have a specific figure attached, so without more information, a direct answer cannot be given.

https://brainly.com/question/34365664

#SPJ6

Answer:

6670.65

Step-by-step explanation:

After 11 years, the value of the car will be $1,913.50.

To find the value of the car after 11 years, we need to calculate the depreciation of the car each year.

The value of the car depreciates at a rate of 9.5% per year, meaning that each year the value of the car will decrease by 9.5% of its current value.

Let's calculate the value of the car after 11 years:

Step 1: Find the depreciation of the car each year.

Depreciation = 9.5% of $20,300 = $1,928.50

Step 2: Calculate the value of the car after 11 years.

Value after 11 years = $20,300 - (11 * $1,928.50)

Value after 11 years = $20,300 - $21,213.50

Value after 11 years = $1,913.50

https://brainly.com/question/17827672

#SPJ3

Final answer:

To test whether the proportion of babies born in September is higher than the expected proportion of 1/12, we can use hypothesis testing. Given a sample of 150 students, with 21 of them born in September, we calculate the test statistic, compare it to the critical value, and make a decision.

Explanation:

To test whether the proportion of babies born in September is higher than the expected proportion of 1/12, we can use hypothesis testing. Let's set up the hypotheses:

Null Hypothesis (H0): The proportion of babies born in September is equal to 1/12.

Alternative Hypothesis (Ha): The proportion of babies born in September is greater than 1/12.

We can use a one-sample proportion test to test these hypotheses. Given that we have a simple random sample of 150 students at your school and 21 of them were born in September, we can calculate the sample proportion: 21/150 = 0.14.

Next, we calculate the test statistic using the formula: test statistic = (sample proportion - null proportion) / standard error. The null proportion is 1/12 = 0.0833, and the standard error is √[(null proportion * (1 - null proportion)) / sample size]. Calculating the test statistic gives us: test statistic = (0.14 - 0.0833) / √[(0.0833 * (1 - 0.0833)) / 150] = 2.92 (rounded to two decimal places).

Finally, we compare the test statistic to the critical value(s) at a chosen significance level to make a decision. The critical value(s) depend on the significance level and the direction of the alternative hypothesis. If the test statistic falls in the rejection region (i.e., it is greater than the critical value), we reject the null hypothesis and conclude that the proportion of babies born in September is higher than 1/12.

They are equidistant from the center of the circle because two congruent chords have the same length, angles, and radii meaning the answer would be D.

Please vote Brainliest, thanks.

The statement (D) "They are equidistant from the center of the circle" is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a statement:

Which is a true statement about any two congruent chords in a circle?

As we know, due to the similar length, angles, and radii of two congruent chords, they are equally spaced from the circle's center.

Thus, the statement (D) "They are equidistant from the center of the circle" is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Given that "80% of the roof" is same as "2800 square feet of the roof".

Let's consider total area of roof = X square feet.

Then "80 percent of X" = "2800 square feet".

[tex] 80\% \;of X = 2800 \;square \;feet \\\\\frac{80}{100} *X = 2800 \;square \;feet \\\\\frac{4}{5} *X = 2800 \;square \;feet \\\\X = \frac{5}{4}* 2800 \;square \;feet \\\\X = \frac{14000}{4} \;square \;feet \\\\X = 3500 \;square \;feet \\\\ [/tex]

So total area of the roof would be 3500 square feet.

Hence, option C is correct i.e. 3500 square feet.

The sandbox has two right angles and two side lengths of 5ft and two side lengths of 6ft. This shape is consistent with a rectangle. Therefore, the shape of the sandbox is best described as a rectangle.

The sandbox described possesses two right angles and two pairs of opposite sides with equal lengths. Specifically, it has two sides of 5ft and two sides of 6ft. These characteristics are indicative of a rectangle.

Rectangles are quadrilaterals with four right angles, meaning each corner of the shape forms a 90-degree angle. Additionally, opposite sides of a rectangle are equal in length, which is evident in this sandbox with its 5ft and 6ft sides. The presence of two right angles further reinforces the shape's rectilinear nature.

Moreover, rectangles have parallel opposite sides, which allows for uniformity in the sandbox's shape. This geometric feature is crucial for ensuring a consistent and stable structure.

By definition, squares are also rectangles, but not all rectangles are squares. Given that the sides of the sandbox are not all of equal length (i.e., not a square), it is more appropriate to classify it as a rectangle.

Therefore, considering the sandbox's right angles, equal opposite sides, and parallel sides, it aligns most closely with the characteristics of a rectangle.

The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2).

Remember that there are several ways to write multiplication. 3 x 6 = 3(6) = 3 • 6.

3 • (2 + 4) = 3 • 6 = 18.

Distributive Property of Multiplication over Addition

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.

3(10 + 2) = ?

According to this property, you can add the numbers and then multiply by 3.

3(10 + 2) = 3(12) = 36. Or, you can first multiply each addend by the 3. (This is called distributing the 3.) Then, you can add the products.

The multiplication of 3(10) and 3(2) will each be done before you add.

3(10) + 3(2) = 30 + 6 = 36. Note that the answer is the same as before.

You probably use this property without knowing that you are using it. When a group (let’s say 5 of you) order food, and order the same thing (let’s say you each order a hamburger for $3 each and a coke for $1 each), you can compute the bill (without tax) in two ways. You can figure out how much each of you needs to pay and multiply the sum times the number of you. So, you each pay (3 + 1) and then multiply times 5. That’s 5(3 + 1) = 5(4) = 20. Or, you can figure out how much the 5 hamburgers will cost and the 5 cokes and then find the total. That’s 5(3) + 5(1) = 15 + 5 = 20. Either way, the answer is the same, $20.

The two methods are represented by the equations below. On the left side, we add 10 and 2, and then multiply by 3. The expression is rewritten using the distributive property on the right side, where we distribute the 3, then multiply each by 3 and add the results. Notice that the result is the same in each case.

The correct fraction in simplest form is 9/16. Hence option 1 is true.

Used the concept of the fraction that states,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Ask about the simplest form of a fraction.

When a fraction is in the simplest form then the GCD of numerators and denominators would be 1.

From (i);

9/16

Clearly, GCD (9, 16) = 1

Hence this shows the simplest form of a fraction.

Therefore, option 1 is true.

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

The graph of g is the graph of f translated to the left 3 units and down 7 units

Step-by-step explanation:

As you can see, the F(X) graph has its origin on (0,0) since when X is equal to 0, Y will be equal as 0 as well, so having both quadratic graphs, we just have to see how the graph is translated, in this case you just have to make x=0, when X is equal to 0 on g(x) Y=-7, so the graph will be translated 7 units down, the only option you have that has the graph tranlated 7 units down is option 2:"The graph of g is the graph of f translated to the left 3 units and down 7 units"

And that is your correct answer.

Answer:x=5,-1

Step-by-step explanation:

Edna says that when \left ( x-2\right )^2=9[/tex]

then x-2=3

such that x=5

but this is not true as when we put the value of x in equation then it will not satisfy the equation.

It can be solved by taking the terms either on LHS or RHS

[tex]\left ( x-2\right )^2-9=0[/tex]

[tex]x-2=\pm 3[/tex]

x=5

x=-1

t= Tina's age

t+2= second child

t+4= third child

36= age of all children

Add the ages of all children equal to 36 years. Add 2 to each age because there is 2 years age difference between each child.

t + (t+2) + (t+4)= 36

combine like terms

3t + 6= 36

subtract 6 from both sides

3t= 30

divide both sides by 3

t= 10 Tina's age

t+2= 12

(10)+2= 12 age of second child

t+4= 14

(10)+4= 14 age of third child

ANSWER: The formula that will calculate Tina's age is t + (t+2) + (t+4)= 36.

Hope this helps! :)

26.32 pounds of nutty chocolate were made.

Using the parameters given;

The amount of pounds of chocolate made ;

Now we have ;

Hence, 26.32 pounds of nutty chocolate were made.

Answer:

it is 34 and 49

Step-by-step explanation:

because i'm big smart