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.​

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?

Answers

Answer 1

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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Find the perimeter of the figure shown to the right.

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Step-by-step explanation:

that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.

and that clearly means to just add all side lengths.

that's it.

so, 25 + 18 + 18 + 20 + 17 = 98 ft

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(iv), (v), (vi) Questions​

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Solution:

iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]

Since we are given two variables, we need to split the original expression into two quadratic expressions as

[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]

Factoring x first:

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= [tex](x-2)(x-2)[/tex]

[tex]= (x-2)^{2}[/tex]

Factoring y now:

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You want to know the number of games you can play at the carnival with $45. It costs $10 to get into the carnival and $7 for one game. Write and solve an equation to find out how many games you can play.​

Answers

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RS= 6x-8

UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Answers

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Helpp with number 23 pls

Answers

Answer : Susan is correct

Susan is correct because if you get that chart and turn all the numbers to decimals and divide the chart in half you will get the answer to 1.4/0.2 because the chart has 14 slots and if you divide that by 2 you will get 7 just think of 1.4/0.2 as 14/2.

which is equivalent to 2^-3/2^2

Answers

Answer:

[tex]1/32[/tex]

Step-by-step explanation:

To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.

Example I would like to find out [tex]2^{-2}[/tex],

You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]

Which would be 0.25 or 1/4

Lets apply this knowledge to the following question:

1. [tex]2^{-3} / 2^{2}[/tex]

2. [tex]\frac{1}{8} / 4[/tex]

3. [tex]1/32[/tex]

2/9 dived 1/2 helpppp

Answers

Answer:

.44 or 11/25

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

2/9 divided by 1/2 can be changed to multiplication by using the inverse of the fraction you are divining by, which makes 2/9 times 2/1, or 2/9 times 2, which is 4/9

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD

Answers

Answer:

-3

Step-by-step explanation:

The slopes of parallel lines are equal.

If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3

Answer:

-3

Step-by-step explanation:

There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.

So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.

Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.

Please consider a brainliest, thank you!

Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…

Answers

Answer:

1) y = 13.5x + 12) y = 12x + 43) Sam won the race

Step-by-step explanation:

Part 1

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

The distance after x seconds is:

y = 13.5x + 1Part 2

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

The distance after x seconds is:

y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3

After 15 seconds the distance from the start line is:

Sam   ⇒ y = 13.5*15 + 1 = 203.5 ftAlice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

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I would say a solid 9

So cute!!!!!!!!!!!!!!!!!!

A candy company used 8 pints of chocolate to
make 2 boxes of candy. How much chocolate would
they need to make 6 boxes of candy?

Answers

Answer:

They would need 24 pints of chocolate to make 6 boxes of candy

How many inflection point(s) do you see ?

Answers

Answer:

  7

Step-by-step explanation:

There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.

__

A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.

Answer:

7 inflection points

Step-by-step explanation:

The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.

[tex]f(x)=sin(x)+2[/tex]

[tex]f'(x)=cos(x)[/tex]

[tex]f''(x)=-sin(x)[/tex]

[tex]0=-sin(x)[/tex]

[tex]x=\pi n[/tex] for any integer [tex]n[/tex]

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What is the answer please give i really help and no links

Answers

Answer:

[tex]9\frac{57}{63}[/tex]

Step-by-step explanation:

First, we need to turn them into improper fractions:

[tex]2\frac{4}{7}[/tex] + [tex]7\frac{3}{9}[/tex]

7 x 2 + 4

7 x 9 + 3

[tex]\frac{18}{7}[/tex] + [tex]\frac{66}{9}[/tex]

Next, we need to find a common multiple of both 7 and 9

7, 14, 21, 28, 35, 42, 49, 56, 63

9, 18, 27, 36, 45, 54, 63

So the denomonator turns into 63.

We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.

18 x 9 = 162

66 x 7 = 462

[tex]\frac{162}{63}[/tex] + [tex]\frac{462}{63}[/tex] = [tex]\frac{624}{63}[/tex]

Next, we have to turn it back into a mixed number.

To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.

9 x 63 = 567

624 - 567 = 57 (Working out the remainder.)

Combining them, the answer is therefore [tex]9\frac{57}{63}[/tex]

Hope this helps and have a good day!

Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c

Answers

Answer:

y= -4x+8

Step-by-step explanation:

y-y1= m(x-x1)

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I need 3 more brainiest can anyone help a girl out plz

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Answer:

:/

Step-by-step explanation:

Answer:

Sure

Step-by-step explanation:

A teacher asked her students to divide a large number by 50.

• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?

Answers

Answer:

Step-by-step explanation:

Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.

Aslan of course would get the right answer. It's direct and it does give the right answer.

Lucy also did it correctly.

Jack is the only one who will not get it right.

please help me figureout 4y+x=8

Answers

the answer is
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A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.​

Answers

Answer:

24mph

Step-by-step explanation:

convert 20 mins and 30 mins to hrs by dividing by 60

4/(20/60)=12

6/(30/60)=12

12+12=24

Cyclist's average speed is 12 mph.

What is Speed?

Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.

It can also be defined as the rate of change of position of anything in any direction.

Speed is a scalar quantity as it does not have direction.

Total distance travelled by the cyclist = 4 miles + 6 miles

                                        = 10 miles

Total time taken by the cyclist = 20 minutes + 30 minutes

                                                  = 50 minutes

We need the average speed in mph or miles per hour.

We know that,

60 minutes = 1 hour

1 minute = 1/60 hour

50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour

                   = [tex]\frac{5}{6}[/tex] hour

Average Speed = Total distance travelled / Total time taken

                          = 10 miles / (5/6) hour

                          = 10 × [tex]\frac{6}{5}[/tex]

                          = 12 miles per hour

Hence the average speed of the cyclist is 12 miles per hour.

Learn more about Speed here :

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What is the LCD of 1/5 and 9/7

Answers

35 is the least common denominator
35 is the LCD of 1/5 and 9/7

Today 60 students rode their bicycles to Coast Middle School. If this is 75% of the students at the school, how many students attend Coast middle School?

Answers

Answer:

i think students attend Coast middle School 80 students

Step-by-step explanation:

students attend Coast middle School x students

75%x = 60

x = 60×100/75

x = 80

Answer:

80 students attend

Step-by-step explanation:

75% is the same as 3/4 so you divide 60 by 3 to get 20 then you can multiply that by 4 to get 80

At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total

tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How

many total tickets would someone get if they purchased a adult tickets and k kids

tickets?

Total tickets, 2 adult tickets and 16 kids tickets:

Total tickets, a adult tickets and k kids tickets:

Answers

Answer:

18a+k

Step-by-step explanation:

The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.

  Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18

  Total tickets, a adult tickets and k kids tickets: a +k

_____

Additional comment

The total price is a different matter:

  $12(2) +$7(16) = $136 . . . for 2 adult and 16 kids

  12a +7k . . . for 'a' adults and 'k' kids

solve similar triangles (advanced)

Answers

Answer:

1

Step-by-step explanation:

They are similar triangles and ED and AD are 9 so CB and AB must be 1.

consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C

Answers

Answer:

A. No, it does not represent a proportional relationship.

B. Yes, it represents a proportional relationship.

C. No, it does not represent a proportional relationship.

Step-by-step explanation:

think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.

Can someone plz help Me? :(

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the greatest common factor of 48 and 60 is D.) 12

Answer:

Answer: D or 12

Step-by-step explanation:

This one is fairly simple.

The Greatest Common Factor is the largest number that can go into both 48 and 60...

What I did is simply took the largest number from the answer choices: which is 12 and then divided 48 and 60 by 12 each. 12 can go into both of these number whole so 12 is your greatest common factor.

Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False

Answers

Answer:

True

Step-by-step explanation:

If corresponding angles are congruent, the lines are parallel

Simplify.

46‾√+26‾√−6‾√




56‾√

518‾‾‾√

618‾‾‾√

66‾√

Answers

618 hope this helps you have an amazing week

The area of the triangle below is 14.96 square inches.
What is the length of the base?

Answers

Answer:

base = 6.8 in

Step-by-step explanation:

area of triangle = 1/2 base height

where height = 4.4 in

              area = 14.96 in²

plugin values into the formula

14.96 = 1/2 base (4.4)

base = 14.96 (2)

               4.4

base = 6.8 in

Base of the triangle is 6.8 inches

Gatorade comes in two different sizes A 16 ounce costs $2.10 and a 20nounce bottle costs $3.15 which is a better deal to explain your thinking.

How much do you save per ounce by buying the better one?

Answers

Based on the cost of each bottle, the better deal is the 16 ounce size and the amount saved per ounce is $0.03

The first step is to find the cost per ounce of each bottle.

For the 16 ounce bottle:

= 2.10 / 16

= $0.13 per ounce

For the 20 ounce bottle:

= 3.15 / 20

= $0.16

The 16 ounce size is therefore better and the amount saved per ounce is:

= 0.16 - 0.13

= $0.03

In conclusion, the 16 ounce is better as it saves $0.03 per ounce.

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What is the LCD of 8/9 and 2/3

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9 is the least common denominator
9 is the LCD of those two fractions

Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10

6. Complete the table, then use the table to create ordered pairs.

7. Graph the sequence using the ordered pairs.

Answers

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

The table of the ordered pairs and the graph is plotted.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.

We have the function as -

f(n) = 15n+10.

We can create a table as follows -

[n]         f[n]

1            25

2           40

3           55

4           70

5           85

Refer to the graph of the function f(n) = 15n+10 attached.

Therefore, the table of the ordered pairs and the graph is plotted.

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