Given DOG, find DG. Round your answer to the nearest hundredth.

We have proven that:

[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]

given that bc = ad.

To prove that

[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]

given that bc = ad, we'll start by manipulating one side of the equation to look like the other side.

Let's start with the left-hand side:

[tex]\[\frac{a + bz}{a + b}\][/tex]

To make it look like the right-hand side, we need to somehow introduce c and d into the expression.

From the given condition bc = ad, we can rearrange it to solve for d:

[tex]\[d = \frac{bc}{a}\]Now, let's substitute \( d \) into the expression:\[\frac{a + bz}{a + b} = \frac{c + \frac{bc}{a}z}{\frac{bc}{a} + c}\][/tex]

Now, to make it look like [tex]\( \frac{c + dz}{d + c} \), we need to factor \( c \)[/tex] out of the numerator:

[tex]\[= \frac{c\left(1 + \frac{bz}{a}\right)}{c\left(\frac{b}{a} + 1\right)}\]Notice that \( c \) cancels out in the fraction:\[= \frac{1 + \frac{bz}{a}}{\frac{b}{a} + 1}\]Now, we notice that \( \frac{b}{a} = \frac{c}{d} \), because \( bc = ad \). So, we can rewrite this as:\[= \frac{1 + \frac{bz}{a}}{\frac{c}{d} + 1}\][/tex]

This is now the same form as [tex]\( \frac{c + dz}{d + c} \), where \( d = \frac{bc}{a} \).[/tex]

So, we have proven that:

[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]

given that bc = ad.

Complete question:

Prove that (a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad

We have proven that:

[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]

given that bc = ad.

To prove that

[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]

given that bc = ad, we'll start by manipulating one side of the equation to look like the other side.

Let's start with the left-hand side:

[tex]\[(a + bz)/(a + b)\][/tex]

To make it look like the right-hand side, we need to somehow introduce c and d into the expression.

From the given condition bc = ad, we can rearrange it to solve for d:

[tex]\[d = (bc)/(a)\]Now, let's substitute \( d \) into the expression:\[(a + bz)/(a + b) = (c + (bc)/(a)z)/((bc)/(a) + c)\][/tex]

Now, to make it look like [tex]\( (c + dz)/(d + c) \)[/tex], we need to factor \( c \) out of the numerator:

[tex]\[= (c\left(1 + (bz)/(a)\right))/(c\left((b)/(a) + 1\right))\]\\Notice that \( c \) cancels out in the fraction:\[= (1 + (bz)/(a))/((b)/(a) + 1)\][/tex]

Now, we notice that [tex]\( (b)/(a) = (c)/(d) \)[/tex], because [tex]\( bc = ad \)[/tex]. So, we can rewrite this as:[tex]\[= (1 + (bz)/(a))/((c)/(d) + 1)\][/tex]

This is now the same form as [tex]\( (c + dz)/(d + c) \), where \( d = (bc)/(a) \)[/tex].

So, we have proven that:

[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]

given that bc = ad.

Complete question:

Prove that (a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad.

Answer:

Step-by-step explanation:

If the jacket was discounted at 25%, that means that you get 25% off, right?  What it also means is that you are still paying 75%.  To get to the price of the jacket on sale, multiply the price of the jacket by 75% (as a decimal):

290(.75) = 217.50

That's the price of the jacket when it is 25% off the original price.  If Arianna got an additional 10% off that price, that means she got 10% off but is still paying 90%.  To get to the final price that she paid, multiply the sale price of the jacket by 90% (as a decimal):

217.50(.90) = 195.75

That's what she paid in the end for the jacket (i guess not counting tax...?)

To find the price Arianna paid for the ski jacket, multiply the original price by the discount and coupon percentages.

To find the price Arianna paid for the ski jacket, we need to calculate the discounts. First, we find the sale price by multiplying the original price by the discount percentage: $290 * 0.75 (100% - 25%) = $217.50. Then, we apply the coupon discount by multiplying the sale price by the coupon percentage: $217.50 * 0.90 (100% - 10%) = $195.75. Therefore, Arianna paid $195.75 for the ski jacket.

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Answer: C

Step-by-step explanation:

Cz i think so

Answer:

$1165.92

Step-by-step explanation:

1000*5.25%=52.5

1000+52.5=1052.5

1052.5*5.25%=55.26

1052.5+55.26=1107.76

1107.76*5.25%=58.16

1107.76+58.16=1165.92

I could b very wrong here tho XD

Answer:

294

Step-by-step explanation:

7*7*6=294

Answer:

10

Step-by-step explanation:

3^2*2-4(3-1)

3^2=9

9*2

9×2

18

4(3-1)

4(2)

8

18-8

=10

So the final answer is 10

Answer:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]      OR      [tex]c^{2}[/tex] - [tex]a^{2}[/tex] = [tex]b^{2}[/tex]

Step-by-step explanation:

You can use it to solve a side of a triangle when you have 2 of the sides of the triangle. I hope this helps! Please mark me brainliest!

The pythagorean theorem is [tex]a^2 + b^2 = c^2[/tex] .

It is used to solve problems by finding the hypotenuse of a right triangle using the two known lengths of the sides squared.

Hope this helps : )

Answer:

C

Step-by-step explanation:

When graphed the only one thats a straight line is C.

Answer:

s=p*.2

Step-by-step explanation:

.2 is 20 percent in decimal form

Final answer:

The equation that relates the sale price (s) to the original price (p) during a 20% off sale is s = 0.80p, showcasing the discounted price is 80% of the original price.

Explanation:

When a book is on sale for 20% off, the sale price, s, can be calculated from the original price, p, using the equation:

s = p - (0.20 × p)

This equation relies on the concept that a 20% discount reduces the original price by a factor of 20%. To express this as a mathematical operation, we multiply the original price by 20% (or 0.20) and subtract that value from the original price to obtain the sale price.

You can also simplify the equation:

s = p - 0.20p

s = (1 - 0.20)p

s = 0.80p

So the equation that relates the sale price to the original price is:

s = 0.80p

Answer:

(-2,-7) answer (-1,14)

3 questions answer (4,-11)

(5,10) answer ( 10,-15)

Answer:

A) 10.

Step-by-step explanation:

You divide 5/4 to get 1.25 and multiply that by 8 to get 10.

The length of C'A' is 10 units, the correct option is A.

Dilation is the process of enlarging or compressing a figure. The factor by which this process happens is called the scale factor.

Triangle ABC is dilated by the rule Dy, 5/4

If measure of CA = 8

The length of C'A' will be determined by using the formula of scale factor

Scale factor = Dimensions of new figure/ Dimensions of original figure

Here,

Scale factor = C'A' / CA

(5/4) x CA = C'A'

C'A' = (5/ 4) x 8

C'A' = 10 units

Your question seems incomplete, the complete question is :

Triangle ABC was dilated using the rule Dy, 5/4

If CA = 8, what is C'A'?

10 units

12 units

16 units

20 units

To know more about Dilation

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To carry Triangle A onto Triangle A', one can use a sequence of geometric transformations such as translation, rotation, and reflection. An example sequence could include translating the triangle, rotating it, and then reflecting it across an axis.

To answer the question on how to carry Triangle A onto Triangle A', we need to consider a sequence of geometric transformations. Without the specific diagram, we can only provide a general solution. Typically, transformations to carry one triangle onto another include translations, rotations, reflections, or a combination of these. For example, we may translate Triangle A horizontally or vertically, followed by a rotation around a point at a certain angle, and possibly apply a reflection across a line if the orientation of Triangle A' is opposite that of Triangle A. Example of a Sequence of Transformations:  This sequence would successfully carry Triangle A onto Triangle A' given the right conditions.

Answer:

120.

Step-by-step explanation:

210 * 4/7

=  30 * 4

= 120.

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

you enter x 1/3 and will get the answer.

You haven't given the dimensions so an example is below.

Step-by-step explanation:

Ex 1

Poster current size 60inches

60 x 1/3 = 20  = 20inches

Ex 2

Poster current size 63 inches

60 x 1/3 = 21 = 21inches

Ex 3

Poster current size 67 inches

67 x 1/3 = 22.33 = 22.33 inches

Ex 4

Poster current size 81 x 47 inches

81 x 1/3 = 27    47 x 1/3 = 15.66

This means the poster at 1/3 size is 27in x 15.66in

Answer:

the answer is c

Step-by-step explanation:

I just took the test

Answer:

x= -71

y= 35

Step-by-step explanation:

To solve this problem you have to creat two different equations.

The first would just be the sum of the two numbers. Since they are two different numbers you will need to pick two different variables to represent them. I chose x & y.

x+y= -36

Your second equation is based off of the second sentence. It tells you that one of your numbers(I'm going to use y) needs to be subtracted by 106 in order to equal the other number (x).

x= y-106 This is how you'd write it out. Since we have one variable by itself we can use substitution to solve for y. This means you take everything (in the second equation only) on the right side of the equal side of the equal sign adn plug it in for x in your first equation.

(y-106)+y= -36 Now solve for y by adding your like terms together. The parenthesis are only there to show you what I replaced x with.

2y-106= -36  Now add the 106 over to the other side.

   +106  +106

2y=70  Finally divide by 2 to get what y equals.

y=35

To find x all you do is plug 35 into one of your equations. I'm goignto use the first one to save time.

x+35= -36 Subtract the 35 over and you'll have x.

x= -71.

Answer:

7

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify

Answer:

7

Step-by-step explanation:

We can see that the y-value does not change on the interval C, so the correct option is "linear constant".

A linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

A horizontal line, also called a constant line, is of the form:

y = b

Where the slope is 0.

Here, you can see that on interval c we have a horizontal line, thus in interval c the graph is linear and constant, so the correct option is the first one.

If you want to learn more about linear equations, you can read:

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Answer:

n = 20/3

Step-by-step explanation:

30 = 3n + 10

20 = 3n

n = 20/3

Answer:-20/3

Step-by-step explanation:

30-3n=10

Subtract both sides by 30

-3n=-20

Divide both sides by -3

n = -20/3

Answer:

the probability of her selecting a red card would be 13/52. The probability of her selecting a king would be 4/52. the probability of her not selecting a red card would be 39/52.the probability of her not selecting a king would be 48/52

Step-by-step explanation:

Step-by-step explanation:

[tex]2x - 5 = x + 5 \\ 2x - x = 5 + 5 \\ x = 10[/tex]

Answer:

x=10

Step-by-step explanation:

Two 1 kg blocks sliding down frictionless inclined planes will take the same amount of time.

The correct statement is that both blocks will take the same amount of time to slide down the inclined planes.

When the blocks slide down the inclined planes, their acceleration is determined by the force of gravity acting on them. Since the mass of both blocks is the same and the force of gravity is the same for both, their acceleration will be the same.

Additionally, the height of the inclined planes is the same for both blocks, so they will cover the same vertical distance. As a result, the time taken for both blocks to slide down will be the same.

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Answer:

b

Step-by-step explanation:

Answer:

464.1587734 = 464 793867/5000000

Answer:

2x − 5 + x = 20

Step-by-step explanation:

Let Aseem's car length be x

Then, length of Stana's car is:

2x - 5

Sum of lengths:

2x - 5 + x = 20

Final answer:

The correct equation that represents the lengths of the model cars Aseem and Stana are building is '2x - 5 + x = 20,' where x represents the length of Aseem's car.

Explanation:

The equation to determine the lengths of Aseem's and Stana's model cars is 2x − 5 + x = 20.

We can define the variable x as the length of Aseem's car, and since Stana's car is 5 inches less than twice the length of Aseem's car, Stana's car length is represented as

2x - 5.

The sum of the lengths of both cars together is 20 inches.

Therefore, the equatio becomes:

(2x - 5) + x = 20

i.e. 2x - 5 -x = 20

the first one doesnt make sense i think the 3rd one is correct

Answer:

$865.74

Step-by-step explanation:

Time-and-a-half wage means you multiply the regular hourly rate by 1.5.

Regular wage: 38 hours at $18.42/hour

Time-and-a-half: 6 hours at 1.5 * $18.42/hour

Total weekly wage:

38 hours at $18.42/hour + 6 hours at 1.5 * $18.42/hour =

= 38 * $18.42 + 6 * 1.5 * $18.42

= $699.96 + $345.78

= $865.74

Answer: His weekly wage is $865.74

Final answer:

By establishing an equation G = k(B/T), where G is the number of girls, B is the number of boys, and T is the number of teachers, we determine the constant of proportionality (k) from the given values. Using this constant, we deduce that there are 10 boys when there are 10 girls and 100 teachers.

Explanation:

The number of girls varies directly as the number of boys (B) and inversely as the number of teachers (T). This can be written as an equation, G = k(B/T), where G is the number of girls, and k is a constant of proportionality. From the given information, when there were 50 girls, there were 20 teachers and 10 boys. Plugging these values into the equation gives us 50 = k(10/20), which simplifies to 50 = k/2. Solving for k gives us k = 100.

Now, to find out how many boys are there when there are 10 girls and 100 teachers, we use the equation with our value for k. We get 10 = 100(B/100). Simplifying this equation gives us 10 = B. Therefore, there are 10 boys when there are 10 girls and 100 teachers.