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The proportion that is correct to find the value of x in the similar triangles is: B. x/20 = 9/15.

For any two triangles that are similar to each other, their corresponding sides will have lengths that are proportional to each other, which means they have the same ratio.

The triangles as shown in the image attached below are said to be similar to each other, this means they have side lengths that are proportional to each other or their corresponding sides will have proportional lengths.

Therefore, we will have the following proportion if we intend to find the value of x in the image given:

x corresponds to 20 while 9 corresponds to the side that measures (9 + 6) 15.

Therefore, the correct proportion is:

x/20 = 9/15.

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Answer:

Your answer would be 10.582575695, the rounded answer would be 10.60.

Step-by-step explanation:

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Answer:

12x5-3a sishanaauanshsushss

Step-by-step explanation:

zhsuzjskakakagshs

Answer:

x=15

Step-by-step explanation:

The given statement is

As you can observe, the observe, we made a substitution. However, the exact property used here is the transitive property of equalities, that's the property responsible for the substitution in mathematics.

The diagram given is a sector, and from the diagram

Radius(r) = 9 in

The ratio of a and b in the simplest form is a:b = 1:3  .

In the question ,

it is given that ,

a = √7 + √c   and

b = √63 + √d

and the ratio of c and d is given as c : d = 1 : 9  , which means c/d = 1/9

on cross multiplication , we get

d = 9c

Substituting d=9c in the equation b = √63 + √d  ,

we get ,

b = √63 + √9c

b = 3√7 + 3√c

taking 3 common , we get

b = 3(√7 + √c)

b = 3a            ......because a = √7 + √c  .

b/a = 3/1

So, a/b = 1/3

the ratio is a:b = 1:3 .

Therefore , The ratio of a and b in the simplest form is a:b = 1:3  .

The given question is incomplete , the complete question is

If a = √7 + √c and b = √63 + √d , where c and d are positive integers. Given that c : d = 1 : 9  . find, in its simplest form, the ratio a : b ?

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Answer:

Hello, I would need to see an image of the quadrilateral at hand to be able to answer your question.

Step-by-step explanation:

Just let me know, here to help!

Answer: brand A 0.21   0.18  brand B   brand c 0.16

Step-by-step explanation:

Analyze each statement to see if it is supported by the dot plots or not.

A) More time is spent on homework than exercise.

Find the total time spent on each activity to compare

Answer:

Step B is incorrect because the factors of [tex]x^2 + 4x + 3[/tex] should be:

[tex](x + 3)(x + 1)[/tex]

Recursive function: f(n) = f(n-1) + 3

Explicit function: f(n) = 3n

Amount of money Peter has to spend = $40

Cost of each ride = $3

Let the number of rides be represented as n

The recursive function is a function in which each term always depends on the preceding terms. In this case, Peter pays $3 after every ride. This means that he adds 3 to every preceding amount that he spends on the rides.

The recursive function is therefore:

f(n) = f(n-1) + 3

The explicit function: This function is always expressed in a clear form (i.e. explicitly)

3 x number of rides = Amount spent

The explicit function is therefore:

f(n) = 3n

The activity preference of teachers and librarians is given in the table. P(teacher and chooses play) is an example of an independent event.

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Step-by-step explanation:

isoceles means that the triangle has 2 equally long legs.

the perimeter is the sum of all sides.

so,

19 = x + (2x - 3)×2 = x + 4x - 6 = 5x - 6

25 = 5x

x = 5

Answer:

2/3

Step-by-step explanation:

rise/run=slope

2 up and 3 to the right to it is 2/3

we have the equation

Solve for x

Applying log on both sides

Given:

Vertex of the parabola is (0,0).

The new account balance of Clare is calculated as $127.38 by using the given data.

A mathematical operation is a mathematical action. A mathematical operation includes addition, subtraction, multiplication, division, and computing the root.

In math, a word problem is a question expressed in one or more sentences that asks learners to apply their arithmetic skills to a'real-life' scenario. This implies that in order to understand the word problem, students must be conversant with the terminology linked with the mathematical symbols to which they are used.

Given:

Clare has a savings account balance of $102.38. She uses the ATM to deposit three cheques she received for her birthday. Each check was made out for $15.00. She then takes out $20 in cash.

Amount in her savings account = 102.38

Amount after depositing 3 checks = 102.38 + 3(15)

                                                         = 147.38

Amount after withdrawing $20 in cash = 147.38 - 20

                                                                = 127.38

Therefore, the new account balance of Clare is calculated as $127.38 by using the given data.

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An explicit formula for the sequence -2,3,8,13,18  is aₙ = 7 - 5n.

The express method for a mathematics collection is an = a + (n - 1)d, and any time period of the collection can be computed, without knowing the opposite terms of the collection. In preferred, the explicit method is the nth time period of mathematics, geometric, or harmonic sequence.

Calculation:-

a₁ = 2

a₂ = 2 - 5 = -3

a₃  = -3 - 5 = -8

a₄ = -8 -5 = -13

a₅ = -13 -5

    = -18

The formula for the nth term of explicit sequence is aₙ = a₁ +(n - 1)d

where a₁ = 2 and d = 5

So,

aₙ =2 + (n - 1)(-5) using distributive property

aₙ = 2 + n (-5)+(-1)(-5)

aₙ = 2 - 5n + 5

aₙ = 7 - 5n

The explicit formulae for L-capabilities are members of the family between sums over the complicated variety zeroes of an L-characteristic and sums over prime powers, introduced by Riemann for the Riemann zeta feature.

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Answer:

$4.75

Step-by-step explanation:

We can use a simple multiplication statement to solve this problem.

3.8 × 1.25 = 4.75

Answer:

4.5 ounce or 3/4 of 6-ounce glass.

Step-by-step explanation:

I don't know -_- I'm too lazy for this.

Okay, here we have this:

Considering the provided data set, we are going to create the corresponding histogram, so we obtain the following:

The above histogram corresponds to the one requested in the exercise.

The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

In the question ,

it is given that

the base area of the large chocolate bar is 59.85 square foot .

let the length of the chocolate bar be "l"

and the breadth of the chocolate bar be "b"

given that the length is 0.9 foot shorter than twice its width , means

l = 2w - 0.9

we have the area of rectangle = length [tex]\times[/tex] width

Substituting the values of length , width and area we get

59.85 = (2w - 0.9 ) * w

59.85 = 2w² - 0.9w

2w² -0.9w -59.85 = 0

On solving the quadratic equation ,

we get w = -5.25 and w = 5.7

width cannot be in negative , so, the width is 5.7 foot .

and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5

Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

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Answer:

Here is the equation in quadratic form:

x= 3±i√47/4

The inequality model will be 40*x + 15*y ≤ $1200.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

The given information, cost of a Jersy = $40

Cost of Hat = $15

The softball team has a total of $1,200 to spend.

Let x equal the number of jersey’s the team orders and y equal the number of hats the team orders.

So the total money will be spend within the budget will be

40*x + 15*y ≤ $1200

Hence, the inequality model will be 40*x + 15*y ≤ $1200.

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Answer:

Answer is 78.5

Step-by-step explanation:

the formula for the Area of a cirlcle is [tex]\pi[/tex][tex]r^{2}[/tex]

using it:

area = 3.14 * 5^2

area = 78.5

Step 1. There are 5 red marbles and 3 blue marbles, 8 marbles in total:

Step 2. Two marbles are drawn simultaneously, which means that there is no replacing of the marbles.

To make the tree diagram with the probabilities for each marble, remember the probability formula:

The three will look as follows:

For the first marble, the probability of getting a red one is 5/8 because there are 5 red marbles out of a total of 8, and similar to the first one is blue.

For the second marble, we consider that the total number of marbles is now 7.

Step 3. To find the probability of each combination, we multiply the values of each branch:

The results of the multiplications is:

The ones that have at least one red marble are the first three branches: red-red, red-blue, and blue-red.

To find the probability of at least one red marble, we add the results of the first three branches:

The result is:

The probability is 50/56.

The fraction can be simplified to:

The probability simplified is 25/28.

Answer:

Answer:

D. 640 students

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Yes, you can use either the system of elimination, substitution, or graphical method to solve linear equations

If all numbers has to be equal, that means:

Let's solve the value of x and y that makes the equation above equal. Let's start with x.

The value of x is 10.

Let's solve for y.

The value of y is -1.

we have the system

8x-4y=-12 -----> equation A

8x+y=-17 -----> y=-17-8x -----> equation B

substitute equation B in equation A

8x-4(-17-8x)=-12

solve for x

8x+68+32x=-12

40x=-12-68

40x=-80

x=-2

Find the value of y

y=-17-8(-2)

y=-17+16

y=-1

8x+5y=-17 -----> equation B

isolate the variable y in equation B (or equation A)

5y=-17-8x

y=-(17/5)-(8/5)x

substitute in equation A

8x-4[-(17/5)-(8/5)x ]=-12

solve for x