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
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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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Related Questions

pls help me pls help me pls help me

Answers

Answer:

C. 35

Step-by-step explanation:

First, let's put the first notebook.

1 2 3

1 2 4

1 2 5

1 2 6

1 2 7

We lose 1 step at each time.

1 3 2 is not ok because 1 2 3 is same as 1 3 2

5+4+3+2+1

Next, the other one.

4+3+2+1

3+2+1

2+1

1

5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35

35 different ways  

The answer for that is C

8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___

Answers

[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]

First of all, we should add 34 and 32:

34+32=66

Now, let's divide both sides by 9:

66÷9=7.3333...

[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]

[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]

pls help on my maths

Answers

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

Please Brainlist

Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Plz help! I have two parts to this :(

Answers

If I am correct, it is 36 because its b x h x l x 1/2

Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now

Answers

Answer:

A=6

Step-by-step explanation:

M=3A

M+6=2(A+6)     M+6=2A+12      M=2A+6

System of equations:

M=3A            Subtract

M=2A+6

0=A-6

A=6

Solve for x:
1 - 8(x - 8) = 17

Answers

1 - 8(x - 8) = 17 PEMDAS

1 -8x + 64 = 17

-8x + 65 = 17

-8x = -49

X = 49/8

Hope this helps!
Brainliest and a like is much appreciated!

A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.

Answers

AnswerBABY BAYBY OOOOH

Step-by-step explanation:

how to do theoretical probability on calculator

Answers

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

6. You have inherited a piece of land in the shape of a quadrilateral. It has the given measurements as shown. Find the length needed for a fence to be constructed from point A to point D. Find the angle mearurements of ÐA and ÐL. Also, find the area of the quadrilateral.

Answers

Answer:

Add up all the sides of the quadrilateral and the answer is the perimeter

Step-by-step explanation:

Arianna and Aryanna went out to lunch over the weekend. They decided to eat at the cheesecake factory in ridge hill. their bill came out to 40$. if they wanted to leave a 20% tip for there waitress how much will the tip be

Answers

Answer:

Step-by-step explanation:

First we need to find 20% of their bill-$40.

So we write a proportion with fractions.

20/100 = x/40

Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:

800 = 100x

Divide both sides by 100 to solve this.

Then we will get:

$8 = x  or  x = $8

Now that we know 20% of the bill this will also represent the tip. Our tip is $8.

=4x+5y=-10
20x - 25y = 50

Answers

The answer is x=0;y= -2

Evaluate the expression when a=-3 and x=5.
a-2x

Answers

Answer:  -13

Explanation:

We replace 'a' with -3, and we replace x with 5. Then evaluate.

a - 2x

-3 - 2(5)

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Write an equation for the perimeter of the rectangle

Answers

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

2(5x)+ 2x(4+5)

You can say that!! What grade level is this

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Answers

Answer:

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Step-by-step explanation:

Complete the shape below so that AB is a line of symmetry

Answers

Here you go I hope it helps, image attached

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2.?÷(−2)=−6.41

Answers

For question one the answer is -1.8
And for question two it's -12.82

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Answers

Answer:

D

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

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How many solutions does the equation 6(x -2) = 8 + 6x have?

Answers

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

6(x - 2) = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height

Answers

Let r represent Rick’s height.Therefore, the quotient of Rick’s height and 4[tex] = \frac{r}{4} [/tex]Fred is 5 inches shorter than the quotient of Rick’s height and 4.Therefore, an expression that represents Fred’s height is [tex] \frac{r}{4} - 5 [/tex]

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

r represents height of RickQuotient of r and 4 means r is divided by 4

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

Porfa ayúdenme a resolver lo de la ficha, plis.

Answers

Answer:

Step-by-step explanation:

Portf?

Huh yo I know the answers I smart

Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared? 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 16 2 log Subscript 5 Baseline x 2 log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4.

Answers

The required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

Given expression,

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We have to find the Equivalent fraction of  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We know that from the properties of logarithm, the following identities

[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)

[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)

Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)

Again using 2 identity, we get

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]

Hence the required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

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Answer:

C on edge

Step-by-step explanation:

List all congruent angles and write a proportion that relates the corresponding side

Answers

Sorter and the other people who have

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Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.

Given triangles are similar ΔFGH ∼ ΔJKH

We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.

so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK

and proportion of corresponding side is  FH/JH  = HG/HK  = FG/JK.

Hence the proportion that relates the corresponding side are            FH/JH  = HG/HK  = FG/JK.

Learn more about congruent triangles;

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#SPJ2

3a-1 over 8=a+9 over 4

Answers

Answer:

1800 stanley steamer

Step-by-step explanation:

Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing

Answers

Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m   Divide by 4

13 cm : 52 m

4²+(3x6)-7 help please

Answers

Answer:

cevap 27

Step-by-step explanation:

4²+(3×6)-7

16+18-7

34-7

27

bu şekilde işlem sırası yanlış yazdıysam özürdilerim ama her türlü cevap 27 çıkıyor

What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answers

The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

The given expression is:

[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]

Expand the expression using the laws of indices

[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]

[tex]25y^2 \times 4y^2[/tex]

Multiply like terms

[tex](25 \times 4)y^{2+2}[/tex]

The resulting expression is:

[tex]100y^4[/tex]

Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

Learn more on indices here: https://brainly.com/question/10339517

Order these numbers from least to greatest

Answers

Answer:

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Step-by-step explanation:

i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3

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what is the questionmark

Answers

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Step-by-step explanation:

[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]

WILL MARK BRAINLIEST!!! PLS HELP. ANY LINKS OR WRONG ANSWERS WILL BE REPORTED !!

Answers

Point S reflected over the y axis would be (9,0)

Answer:

When reflected across the y-axis the point would be at (9,0)

original price: $2.00
discount: 31%
tax: 3%​

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Answer:

is this a questions or no?

Step-by-step explanation:

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