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  • 1 answers

Gaurav Seth 5 years, 4 months ago

 

Construction : Join AC

In DAC,

S and R are mid points of DA and DC respectively.

 By mid point theorem

SR || AC and SR =  ...(1)

Similarly in BAC,

PQ || AC and PQ =  ...(2)

From (1) and (2),

SR || PQ and SR = PQ

Hence PQRS is a parallelogram.

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  • 2 answers

Prashant Rai 5 years, 4 months ago

Ok

Prashant Rai 5 years, 4 months ago

Take any two solution of the given equation. Let ,take x=3and y=0 Also,x=0and y=5 Now from the above values draw the graph.
  • 1 answers

Gaurav Seth 5 years, 4 months ago

Let 100x = 0.323232.............. (i)

10000x = 32.323232............... (ii)

(ii) - (i) = 32.323232.... - 0.323232...

10000x - 100x = 32

9900x = 32

x = 32/9900

Making 32/9900 in simplest form

HCF of 32,9900 = 4

divide them with 4

32/9900 = 8/2475

 

  • 1 answers

Gaurav Seth 5 years, 4 months ago

Variable

In Maths, a variable is an alphabet or term that represents an unknown number. The variables are specially used in the case of algebraic expression or algebra. The variable is a quantity that can be changed or which is not fixed according to the mathematical operation performed. Usually, in algebra, we express an unknown number using the term ‘x’ and ‘y’. But this is not particular, and we can use any alphabet.

 

Linear Equations

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

  • 2 answers

Abhishek Singh 4 years, 11 months ago

Thankyou

Yogita Ingle 5 years, 4 months ago

Ratio of sides
12: 17:25

let them be
12x,17x, 25x respectively

perimeter of a triangle = sum of all sides

540 = 12x,17x, 25x
540 = 54x
x = 10

all sides measure
12x = 12×10 = 120
17x = 17× 10 = 170
25x= 25 × 10 = 250
it's semipetimeter = 540/2 = 270

using heron's formula area of the triangle =√ (s)(s-a)(s-b)(s-c)}
where s is the semipetimeter and a,b,c
area the sides of the triangle.

√ {( 270)(270-120)(270-170)(270-250)}

= 9000cm^2.

  • 1 answers

Yogita Ingle 5 years, 4 months ago

MidPoint Theorem Statement

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Construction- Extend the line segment DE and produce it to F such that, EF=DE.

In the triangle, ADE, and also the triangle CFE

EC= AE —– (given)

∠CEF = ∠AED {vertically opposite angles}

EF = DE { by construction}

hence,

△ CFE ≅ △ ADE {by SAS}

Therefore,

∠CFE = ∠ADE {by c.p.c.t.}

∠FCE= ∠DAE {by c.p.c.t.}

and CF = AD {by c.p.c.t.}

The angles, ∠CFE and ∠ADE are the alternate interior angles. Assume CF and AB as two lines which are intersected by the transversal DF.

In a similar way, ∠FCE and ∠DAE are alternate interior angles. Assume CF and AB are the two lines which are intersected by the transversal AC.

Therefore, CF ∥ AB

So, CF ∥ BD

and CF = BD {since BD = AD, it is proved that CF = AD}

Thus, BDFC forms a parallelogram.

By the use of properties of a parallelogram, we can write

BC ∥ DF

and BC = DF

BC ∥ DE

and DE = (1/2 * BC).

Hence, the midpoint theorem is Proved.

  • 4 answers

Hetvi Patel 5 years, 3 months ago

1/3πr2h

Hency Jain 5 years, 3 months ago

1\3pie r 2 h

Riya Kumari 5 years, 4 months ago

1/3πr2h

Kanika Tanwar 5 years, 4 months ago

1/3πr²h
  • 1 answers

Gaurav Seth 5 years, 3 months ago

Diameter = 14 cm, radius = 14/2 = 7 cm

 

Or

Given : Diameter is 14 cm.

To find : The volume of a sphere ?

Solution :

The volume of a sphere is

Diameter is 14 cm.

Radius is 

Substitute the value,

Therefore, the volume of a sphere is 1427.33 cm³.

  • 1 answers

N Ayana 5 years, 4 months ago

answer will be 4. see the process below (2x+3)^2=25 2x^2 + 3^2=25 4x+9=25 4x=25-9=16 4x=16 x=16/4=4
  • 1 answers

Gaurav Seth 5 years, 4 months ago

Let the angle be x

Complementary angles : A pair of angles whose sum is 90° are called complementary angles.

Complement of x = 90-x

We are given that an angle is 10 degree more than one third of its complement .

So, 

Complement = 90-x = 90-60 = 30°

Hence The greater angle is 60°

  • 1 answers

Yogita Ingle 5 years, 4 months ago

□ ABCD is a parallelogram

consider Δ ACD and Δ ABD

AC = BD .... (given)

AB = DC .... (opposite sides of parallelogram)

AD = AD .... (common side)

∴Δ ACD ≅Δ ABD (sss test of congruence)

∠ BAD = ∠ CDA .... (cpct)

∠BAD+∠CDA=180∘. [Adjacent angles of parallelogram are supplementary]

so ∠ BAD and ∠ CDA are right angles as they are congruent and supplementary.

Therefor, □ ABCD is a rectangle since a 

parallelogram with one right interior angle is a rectangle.

  • 1 answers

Gaurav Seth 5 years, 3 months ago

It is given that

∠B = 35°

∠C = 65°

AP is the bisector of ∠CAB

We have to arrange AP, BPand CP in descending order.

In  ΔACP we have

∠ACP = 65°

∠CAP = 40°(As AP is the bisector of ∠CAB

So  AP > CP (Sides in front or greater angle will be greater)              ........(1)

In  ΔABP we have

∠BAP = 40°(As AP is the bisector of ∠CAB)

Since, 

∠BAP >∠ABP

So  BP > AP                ..........(2)

Hence 

From (1) & (2) we have

 BP > AP > CP

  • 2 answers

Aayushi Nagar 5 years, 4 months ago

To find six rational no in 1 and 2... Use the formula..A+B×(1/2) So, A=1 & b=2. =1+2×(1/2) =3×1/2 =3/2 .(Answer 1) Same repeat ..again Now,Consider ,A=3/2 & B=2 Then consider, A=3/2 & B=1 " , and so on.. Also there is an other easy method...we can use. For that...you should know that how many numbers we have to find?=6 So, given no are 1 and 2. So first write them in fraction form.. So, 1/1 & 2/1. Now , multiply these with (6+1=7) So, =1/1×7/7 = 7/7 .... & =2/1×7/7=14/7 Now,between 7/7 and 14/7 Rational number will be..... 8/7, 9/7, 10/7, 11/7, 12/7, 13/7.

Mishika Pandey 5 years, 4 months ago

11/10 , 12/10 13/10 14/10 15/10 16/10
  • 5 answers

Pluto Physicist 5 years, 4 months ago

Every natural no. is a whole no. But every whole no. Is not a natural no. Because whole no. Consists 0,1,2,3,.......infinite...... but natural no. Consists only 1,2,3,.......infinite.....

Kumar Rohan 5 years, 4 months ago

Every natural number is whole number because natural no. Start 1 to infinitive and whole no. Start 0 to infinitive so, every natural no. is a whole no.

Aayushi Nagar 5 years, 4 months ago

Every natural number is whole no...natural no starts from 1..to infinite.. Whole no are collection all natural no ...but also with zero.(0) that is whole no. start from 0..to infinite. So here,the statement is correct that every natural no is a whole no also..

Mohit Sadhwani 5 years, 4 months ago

1 possible
The whole numbers are the numbers 0, 1, 2, 3, 4, and so on. Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.
  • 1 answers
A rational number is any number can be expressed as a fraction. Whereas, a whole number is a positive number without a decimal or fractions. ... So every rational number is may or may not be a whole number but every whole number is a rational number.
  • 1 answers
Every integer is started from 0,and it can be both positive or negative. But whole numbers are started from 0 to positive numbers,, hence whole numbers can't be negative.So, It would be wrong to say that Every integer is a whole number. Therefore, Every integer is not a whole number..
  • 1 answers
Yes, every integer is a rational number because rational number basically numbers that have presented in fraction and integer numbers are also be presented in form of fraction. Rational numbers are represent in form of fraction as a / b where a is known as numerator and b is known as denominator.
  • 4 answers

Kumar Rohan 5 years, 4 months ago

False because whole no. start 0 to infinitive and 0 is not a natural no.
Answer: true , because natural number is starte on no. 1 to infinity but whole no. is started on 0 to infinity so it is true .

Dolly Singh 5 years, 4 months ago

True

Mantasha Mantasha 5 years, 4 months ago

Direct and indirect
  • 2 answers

Meghna Thapar 5 years, 4 months ago

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter. Drag around the vertices of the triangle to see where the centers lie.

All the vertices of a triangle are equidistant from the circumcenter. In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle. Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.

My Guide ... 5 years, 4 months ago

The circumcenter is the center of the circumscribed circle (the intersection of the perpendicular bisectors of the three sides). The centroid is the intersection of the three medians of the triangle.
  • 2 answers

Prince Pandey 5 years, 4 months ago

So, BR+BQ=5+5=10cm. Similarly, PA+AQ=10cm. So,PQ=10cm & QR=10cm. So, PR= (PQ)^2 + (QR)^2 PR= (10)^2+ (10)^2 = 100+100 PR=√200 = 14•2 (approximately)

Prince Pandey 5 years, 4 months ago

In triangle ABQ all sides are equal (since, ABQ is an equilateral triangle). So, AB=BQ=QA=5cm.
  • 1 answers

My Guide ... 5 years, 4 months ago

ANSWER Given, Diagonals are equal AC=BD                  .......(1) and the diagonals bisect each other at right angles OA=OC;OB=OD           ...... (2) ∠AOB= ∠BOC= ∠COD=  ∠AOD= 900    ..........(3)   Proof: Consider △AOB and △COB OA=OC  ....[from (2)] ∠AOB= ∠COB OB is the common side Therefore, △AOB≅ △COB From SAS criteria, AB=CB Similarly, we prove △AOB≅ △DOA, so AB=AD △BOC≅ △COD, so CB=DC So, AB=AD=CB=DC               ....(4) So, in quadrilateral ABCD, both pairs of opposite sides are equal, hence ABCD is  parallelogram In △ABC and △DCB AC=BD            ...(from (1)) AB=DC            ...(from $$(4)$$) BC is the common side △ABC≅ △DCB So, from SSS criteria, ∠ABC= ∠DCB Now, AB∥CD,BC is the tansversal ∠B+∠C= 180 ∠B+∠B= 180 ∠B= 90 Hence, ABCD is a parallelogram with all sides equal and one angle is 90 So, ABCD is a square. Hence proved.
  • 1 answers

Gaurav Seth 5 years, 3 months ago

Answer:

the radius of the garden is 30

Step-by-step explanation:

if each girl is sitting and holding the string of phone

so, the difference between the girls will be 60.

the diameter will be 60.

and the radius will be 60 / 2 =30

  • 1 answers

Gaurav Seth 5 years, 3 months ago

Step-by-step explanation:

1. Given data

  Radius if circle (R)=

  Length of one chord (=16 cm

  Length of second chord (=12 cm

2. Let perpendicular distance of chord of length 16 cm from centre of circle is 

   Then

   ...1)

   On putting the respective value in equation 1)

      ...2)

3. Let perpendicular distance of chord of length 12 cm from centre of circle is 

    Then

   ...3)

   On putting the respective value in equation 3)

        ...4)

5. If both is on same side with respect to centre of circle, distance between two chord

   

6. If both is on opposite side with respect to centre of circle, distance between two chord    

   

  • 1 answers

My Guide ... 5 years, 4 months ago

Let ∆ABC is a right triangle such that ∠B = 90 and D is mid point of AC . then we have to prove that BD = 1/2 AC we produce BD to E such that BD = AC and EC.   Now is ∆ADB and ∆CDE we have  AD = DC [Given]  BD = DE [By construction]  And, ∠ADB = ∠CDE [Vertically opposite angles]  ∴ By SAS criterion of congruence we have  ∆ADB ≅ ∆CDE  ⇒ EC = AB and ∠CED = ∠ABD ....(i) [By cpctc]  But ∠CED & ∠ABD are alternate interior angles  ∴ CE ║ AB ⇒ ∠ABC + ∠ECB = 1800 [Consecutive interior angles] ⇒ 90 + ∠ECB = 1800  ⇒ ∠ECB = 900  Now, In ∆ABC & ∆ECB we have  AB = EC [By (i)]  BC = BC [Common]  And, ∠ABC = ∠ECB = 900  ∴ BY SAS criterion of congruence  ∆ABC ≅ ∆ECB  ⇒ AC = EB [By cpctc]  ⇒ 1/2 AC = 1/2 EB  ⇒ BD = 1/2 AC
  • 5 answers

C Abbi 5 years, 4 months ago

Hey
Hru
Hii ritika.....

Ritika Jangra 5 years, 4 months ago

Hey friend jaan

Neha Jangid ??? 5 years, 4 months ago

Hlo
  • 3 answers

Mitul Goyal 5 years, 4 months ago

..........

Amlan Panda 5 years, 4 months ago

Given two opposite angles of a parallelogram are (3x − 2)º and (50 − x)º Recall that opposite angles of a parallelogram are equal. Hence (3x − 2) = (50 − x) ⇒ 3x + x = 50 + 2 ⇒ 4x = 52 ∴ x = 13 (3x − 2)º = [3(13) − 2]º = [39 − 2]º = 37º Sum of adjacent angles is 180º Hence other two equal opposite angles = 180º − 37º = 143°

Gaurav Seth 5 years, 4 months ago

Given two opposite angles of a parallelogram are (3x − 2)º and (50 − x)º
Recall that opposite angles of a parallelogram are equal.
Hence (3x − 2) = (50 − x)
⇒ 3x + x = 50 + 2
⇒ 4x = 52
∴ x = 13
(3x − 2)º = [3(13) − 2]º = [39 − 2]º = 37º
Sum of adjacent angles is 180º
Hence other two equal opposite angles = 180º − 37º = 143°

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