In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?

Topic:CBSE board Class 10
Correct answer will be mark as brainliest.​

Answer:

y = 3

Step-by-step explanation:

The triangles are congruent by AAS.

Sides 5y and 3y + 16 are congruent by CPCTC.

5y = 3y + 6

2y = 6

y = 3

Answer:

50%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5 is a term 6b is a term 3d is a term

7/24*5/14*16*25= 1/15

Answer:To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator. or this might also help,

Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.

Step-by-step explanation:

Hope this help

We want to write and solve a system of equations to model the given situation.

The answers are:

A)

y =  50 + 4*x

y = 17 + 7*x

B) after 11 weeks.

C) 94 subscribers.

First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.

Then for Robin, we can write:

y = R(x) = 50 + 4*x

The equation that models the number of subscribers that Robin has at week x.

Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:

y = D(x) = 17 + 7*x

A) Then the system of equations is just:

y =  50 + 4*x

y = 17 + 7*x

B) Now we must solve the system.

Notice that in both equations we have y isolated, then we can write:

50 + 4*x = y = 17 + 7*x

50 + 4*x =17 + 7*x

Now we can solve this for x:

50 + 4*x =17 + 7*x

50 - 17 = 7*x - 4*x

33 = 3*x

33/3 = 11 = x

This means that at week 11 they will have the same number of subscribers.

C) To get this we just need to evaluate any one of the two linear equations in x = 11

D(11) = 17 + 7*11 = 94

Both of them will have 94 subscribers.

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

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The table is an illustration of a linear function

9. The student's rate

Take any two points from the table

[tex](x,y) =\{(1,644)\ (4,500)\}[/tex]

The rate is then calculated using:

[tex]Rate = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]Rate = \frac{644 -500}{1-4}[/tex]

[tex]Rate = \frac{144}{-3}[/tex]

[tex]Rate = -48[/tex]

The statement that the student reads at a rate of 48 pages per hour is true

10. The pages in the novel

From the table, there are 644 pages left, after the student read for 1 hour.

This means that there are more than 644 pages in the novel.

The statement that the number of pages in the novel is 644 is false

11. The linear equation

This is calculated as:

[tex]y = Rate(x -x_1) + y_1[/tex]

So, we have:

[tex]y = -48(x -1) + 644[/tex]

[tex]y = -48x +48 + 644[/tex]

[tex]y = -48x +692[/tex]

The statement that the situation can be represented by the  equation y = -48x + 692 is true

Read more about linear equations at:

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Answer:

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the shape of [tex]\bar{x}[/tex] is approximately normal.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of [tex]\bar{x}[/tex] is approximately normal.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221

Answer:

y=5/3x+b

Step-by-step explanation:

Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.

So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.

Thank you!

Cars are vehicles means cars=Vehicles

So

[tex]\\ \sf\longmapsto C=V[/tex]

Converse statement:-

[tex]\\ \sf\longmapsto V=C[/tex]

Answer:

F

Step-by-step explanation:

Answer:

  F

Step-by-step explanation:

You only need to read as far as ...

  y ≤

to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).

The graph with a solid line and shading below is graph F.

Answer:

The answer is 113.

Answer:

141

Step-by-step explanation:

There are 8 nines: 9×8=72

There are 3 sevens: 7×3=21

There are 4 eights: 8×4=32

6×2=12

2×2=4

All together you get

The inequality that models the possible perimeter of the yard is 2(l + w) ≥ 200

The possible dimension of the width is 90 feet

The formula for calculating the perimeter of the fence is expressed as:

If he has 200 feet of fencing, then:

2(l + w) ≥ 200

If the length of the fenced-in area to be at least 20 feet long, the equation becomes:

2(20 +w) ≥ 200

40 + 2w ≥ 200

2w ≥  200 - 40

2w≥ 160

w≥  80

Hence the possible dimension of the width is 90 feet

Learn more on inequalities here: https://brainly.com/question/10709615

Answer: 9.75m

Step-by-step explanation:

3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m

Answer:

the first option i think

Answer:  150 students

Step-by-step explanation:

Let X be the total number of students.  We are told that:

0.60X = 90 students

X = (90 students)/0.60

X = 150 students

Answer:

267

Step-by-step explanation:

Answer:

First dont give candie second keep for yourself third mock them 4th be greedy

Step-by-step explanation:

by buying candie from your own money nah waste on yourself

the answer is B. (x+3) (x-3)

The function that best defines this arithmetic sequence is:

The recursive function that defines the sequence is:

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(1) = f_0[/tex]

In this problem, the sequence is: {9, 5, 1, -3}

Hence, the function is:

You can learn more about arithmetic sequences at https://brainly.com/question/6561461

To identify the functions which best define the given sequence, we have to identify the number pattern.

The correct option is (a).

Given:

The given sequence is as follows,

[tex]9,5,1,-3[/tex]

The arithmetic sequence define as the difference between two consecutive number would be same.

If we subtract 4 form each digit we will get next digit.

[tex]9-4=5\\5-4=1\\1-4=-3[/tex]

So the function would be,

[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]

The option (b) and (d) show the increasing function whereas we have decreasing sequence.

Thus, the correct option is (a).

Learn more about arithmetic sequence here

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[tex]3 \times \frac{1}{2} \\ \\ = \frac{5}{2} [/tex]

Take two co-ordinates

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]

Equation in point slope form

[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]

[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]

[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]

Answer:

The value of [tex]gof (-2)=79[/tex]

Step-by-step explanation:

We have

[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]

Now we need to find

[tex]gof (-2)=g(15)[/tex]

[tex]g(15) =5\times15+4\\\\=79[/tex]

Answer:

Rolls $6, Folded $4

Step-by-step explanation:

Minh: 6r + 2f = 44

Mikayla: 3r + 9f = 54

Multiply Mikayla's x 2:  6r + 18f = 108

Subtract Minh:               6r + 2f = 44

                                    16f = 64

f = 4, Folded paper is $4.

Substitute 4 for f into one of the equations.

6r + 2(4) = 44

6r + 8 = 44

6r = 36

r = 6 Rolled paper is $6

The length of the compass so that ΔXYZ is isosceles and not equilateral could be;

Option C; between ¹/₂XY and XY

Option E; greater than XY

We are told that;

Student has drawn a line XY

Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.

Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.

Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.

The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.

Finally, the options that apply are Options C and E.

Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169

Answer:

Hello your answer should be: Bella saved more per chore than Sweet T.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

Answer:

a₄ = - 26

Step-by-step explanation:

Substitute n = 4 into the nth term formula

a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26

Answer:

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%

Step-by-step explanation:

If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):

(9 x 10)/2 =90/2 = 45

45÷9=5

By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2. 

There are 9 digits of which 4 are even (2, 4, 6 or 8).

So the probability that the number is divisible by 2 is 4/9.

Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.