Look at the triangles. What information is needed to prove that △ABC∼△DEF?
Options are listed at the bottom

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

w^2-4v^2

Step-by-step explanation:

w*w=w^2

w*2v=2vw

-2v*w=-2vw

-2v*2v=-4v^2

w^2+2vw-2vw-4v^2

w^2-4v^2

Answer:

-3y (y^2+ 2y-2)

Step-by-step explanation:

i took the test and got this answer

The standard form of the mass thirty-eight and ninety-seven hundredths kilograms is 38.97 and 9 is in tenths position.

What is decimal representation?

A decimal number is one in which a decimal point is used to distinguish between the integer and fractional components. To represent numbers larger than or less than one, the digits are arranged to the left and right of the decimal.

Given thirty-eight and ninety-seven hundredths kilograms.

In digit form we get

38.97, where 9 is in tenths and 7 is in hundredths position.

Therefore, the standard form of the mass thirty-eight and ninety-seven hundredths kilograms is 38.97 and 9 is in tenths position.

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Given that the box contains 46 red marbles, 58 white marbles, and 51 blue marbles, you know that the total number of marbles the box contains is:

In this case, let be A the event in which the randomly selected marble from the box is white, and B the event in which the randomly selected marble from the box is blue.

Since those events are independent, you can set up that the probability of randomly selecting a white marble or blue marble from the box is:

Knowing that there are 58 white marbles, you can determine that:

And knowing that there are 51 blue marbles, you can determine that:

Therefore:

Hence, the answer is:

Answer:

Ratio is 1:3

Step-by-step explanation:

Given that a jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.

We have to work out the ratio for online sales to shop sales

Total sales .. 240

Shop sale .. 180

Online sa .. 60

Hence ratio for online sales:shop sales

Answer:

3:1 would be the most simplified answer

Step-by-step explanation:

I found out what the question was

Based on the information that has been provided, it is not possible to conclude whether there are a greater number of philosophers or mathematicians.

The statement only provides information regarding the proportion of mathematicians to philosophers and vice versa; it does not provide information regarding the total number of people working in either subject. It is possible that there are a greater number of philosophers, a greater number of mathematicians, or an equal number of both. We would need further information, such as the overall number of people in the fields, in order to accurately establish the number of persons who are present in each field specifically.

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Answer:

8

Step-by-step explanation:

Answer:

8 apples

Step-by-step explanation:

By saying gets rid of, it means subtraction

So, the equation would be

10-2

=8

Hope that clarified your answer!

Answer:

C

Step-by-step explanation:

Alfred Russel Wallace was a naturalist and explorer who is known for independently conceiving the theory of evolution by natural selection at the same time as Charles Darwin.

In addition to this, he made significant contributions to the study of biogeography, which is the study of the distribution of species around the world. Wallace observed that certain forces kept the populations of species in check, which prevented them from growing infinitely and overrunning their environment. Some of the forces he identified included competition for resources such as food, water, and habitat, predation by other species, disease, and environmental factors such as temperature, rainfall, and soil fertility.

He also noted that these forces varied from place to place, which led him to propose the concept of biogeographic regions. Wallace's work helped to establish the modern field of biogeography and shed light on the complex interactions that shape the diversity and distribution of life on Earth.

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Answer:

Distributive property

Step-by-step explanation:

Answer:

what are the options

Step-by-step explanation:

Answer: 1, 2, 5

Step-by-step explanation: I am doing the quiz, i know the answer choices

Answer:

The answer is (-sin(cos^4a(x)))^4a

Answer:

0.80

Step-by-step explanation:

I did the math 5 times

The confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

A trait that cannot be quantified is referred to as a categorical variable (also known as a qualitative variable).

Nominal or ordinal categorical variables are also acceptable.

Since the variable of interest is a person's opinion, which is a qualitative variable, the confidence interval for a proportion should be built.

Statistical Variables Qualitative variables also referred to as categorical variables are variables without a built-in sense of hierarchy.

As a result, they are quantified using a nominal scale.

For instance, a qualitative variable is a name as well as hair color (Black, Brown, Gray, Red, Yellow).

Therefore, the confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

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The 3-aspect headway time achieved for a given train speed of 80 km/h, train deceleration of 0.85 m/s², train length of 200 m, and overlap length of 183 m, including the signal sighting time and brake delay time is 38.83 seconds.

In railway signalling, the headway time achieved is dependent on the speed of the train.

For a given train speed of 80 km/h, train deceleration of 0.85 m/s², train length of 200 m, and overlap length of 183 m, evaluate the 3-aspect headway time.

Also, include the signal sighting time dan brake delay as 10 s and 6 s, respectively, in the calculation.

Formula:

Headway time = (2L + 2D)/v + TSS + TD

where, L = train length

D = overlap length

v = velocity

TSS = Signal sighting time

TD = Brake delaytime

Now, substituting the given values in the formula, we have;

Headway time = (2L + 2D)/v + TSS + TD

Where v = 80 km/h

= (80*1000)/3600

= 22.22 m/s

L = 200 m

D = 183 m

TSS = 10 s = 10 m

TD = 6 s = 6 m

Then;

Headway time = (2L + 2D)/v + TSS + TD

= [2(200) + 2(183)]/22.22 + 10 + 6

= 38.83 s

Thus, the 3-aspect headway time achieved for a given train speed of 80 km/h, train deceleration of 0.85 m/s², train length of 200 m, and overlap length of 183 m, including the signal sighting time and brake delay time is 38.83 seconds.

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Answer:

The correct graph is D

If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.

Total number of registered voters in Central city = 29791 voters

Total number of voting centers = 93 voting centers

The number of population serves by each center = Total number of registered voters in Central city ÷ Total number of voting centers

Substitute the values in the equation

The number of population serves by each center = 29791/93

= 320.33

≈ 320

Hence, If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.

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Answer:

Yes! It can

\(Fraction=4\frac{7}{10}\)

Decimals can convert into fractions!

4 is the whole number

.70 is

70 out hundredths

7/10 or 7/100

So the fraction would be

\(4\frac{7}{10}\)

Hope this helps!

\(Fishylikeswater\)

Answer: 4 and 7/10

Step-by-step explanation: Using the place value chart below,

we can see that 4.7 means four and seven tenths.

This can be written as the mixed number 4 and 7/10.

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer:

it C

Step-by-step explanation:

The correct answer is 32.

In an integer optimization problem with binary variables, each variable can take one of two possible values: 0 or 1. Therefore, for 5 binary variables, each variable can be assigned either 0 or 1, resulting in 2 possible choices for each variable. The maximum number of potential solutions in an integer optimization problem with 5 binary variables is 32 because each binary variable can take on 2 possible values (0 or 1)

In this case, we have 5 binary variables, so the maximum number of potential solutions is given by 2 * 2 * 2 * 2 * 2, which simplifies to 2^5. Calculating 2^5, we find that the maximum number of potential solutions is 32.

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Answer:

half eaten pizza has greater circumference

Step-by-step explanation:

full eaten pizza's circumference = 2πr

= 2 * 3.14 * 7 = 43.96 inches

half eaten pizza's circumference = πd

= 3.14 * 20

=62.8 inches

Answer:

1240 widgets

Step-by-step explanation:

The value of the function at 870, the local maximum, is

= -0.02(870)2 + 34.80(870) - 4700

= -0.02(756900) + 30276 - 4700

=  -15138 + 25576

= 10438

So the vertex is (870, 10438)

The cost t the company to produce 870 widgets is  

C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224

So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.

(10438 + 9224)/870 = 19662/870 = $22.60

P(x) = 7700

- 0.02x2 + 34.80x - 4700 = 7700

-0.02x2 + 34.80x -12400 = 0

x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)

x = [-34.80 ± √(1211.04 - 992)]/(-0.04)

x = (-34.80 ± √219.04)/(-0.04)

x = (-34.80 ± 14.8)/(-0.04)

x = 870 ± 370

so, $7700 in profits will be earned at either 500 widgets or 1240 widgets

The critical points of the following functions are:

To find the critical points of the given functions, find the points where the derivative of the function is equal to zero or undefined.

Find the critical points for each function:

y = 8x - x²

To find the critical points, take the derivative of the function and set it equal to zero:

dy/dx = 8 - 2x

Setting dy/dx equal to zero:

8 - 2x = 0

Solving for x:

2x = 8

x = 4

So the critical point for this function is (4, y).

y = x² - 10x

Taking the derivative of the function:

dy/dx = 2x - 10

Setting dy/dx equal to zero:

2x - 10 = 0

Solving for x:

2x = 10

x = 5

So the critical point for this function is (5, y).

y = 4x² + 16x + 3

Taking the derivative of the function:

dy/dx = 8x + 16

Setting dy/dx equal to zero:

8x + 16 = 0

Solving for x:

8x = -16

x = -2

So the critical point for this function is (-2, y).

In summary, the critical points for the given functions are:

(4, y) for the function y = 8x - x²

(5, y) for the function y = x² - 10x

(-2, y) for the function y = 4x² + 16x + 3

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A gumball machine contains 8 blue gumballs and 8 red gumballs. two gumballs are purchased, one after the other, without replacement. The probability that the second gumball is red is 2/15.

Unravel the issue, we are able to utilize the conditional likelihood equation, which says that the likelihood of an occasion A given that occasion B has happened is rise to the likelihood of both A and B happening isolated by the likelihood of B happening:

P(A|B) = P(A and B) / P(B)

P(A|B) = P(A and B) / P(B)

where:  P(A and B) = (8/16) * (8/15) = 32/240

P(B) is the likelihood that the primary gumball isn't ruddy, which is break even with to the likelihood of selecting a blue gumball on the to begin-with draw, i.e., P(B) = 8/16

Substituting these values into the equation, we get:

P(A|B) = P(A and B) / P(B) = (32/240) / (8/16) = 2/15

thus, the likelihood that the moment gumball is ruddy, given that the primary gumball isn't ruddy, is 2/15.

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Using 500ml of squash, the water that Ben will need is 2000ml.

If he halved the amount of squash, the water that he would need is 1000ml.

The people who use public transport are 18.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, the instructions on the bottle state that the squash should be mixed with water in a 1:4 ratio. The water needed will be:

= 4 × 500ml

= 2000ml

If he halved the amount of squash, this will be:

= 1/2 × 2000

= 1000ml

Those who use public transport will be:

= 2/3 × 27

= 18

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The number of child tickets sold that day was 81.

To solve the problem, let's use algebra. Let x be the number of child tickets sold and 3x be the number of adult tickets sold. The total sales can then be expressed as:

6.40x + 9.60(3x) = 950.40

Simplifying this equation:

6.40x + 28.80x = 950.40

35.20x = 950.40

x = 27

This means that 27 child tickets were sold. However, the problem asks for the number of child tickets sold on Friday, when three times as many adult tickets were sold.

So the number of child tickets sold on Friday is:

3x = 3(27) = 81

Therefore, 81 adult tickets and 27 child tickets were sold on Friday, and the revenue was $950.40.

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