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  • 2 answers

M U 4 years ago

To construct 135 degree angle we first construct 90 degree angle and its steps of constructions are as follows:  1). Use ruler and draw a Line segment OB of any convenient length. (as shown below)   2). Now use compass and open it to any convenient radius. And with O as center , draw an arc which cuts line segment OB at X . (as shown below)   3). Again use compass and opened to the same radius (as of step 2). And with X as center , draw an arc which cuts first arc at D . (as shown below)   4). Again use compass and opened to the same radius (as of step 2). And with D as center , draw another arc which cuts first arc at C . (as shown below)   5). Again use compass and opened to the same radius (as of step 2). And With C & D as center, draw two arc which cuts each other atE . (as shown below)   6). Join OE and extent it to A. (as shown below)   7). Above formed angle AOB = 90 Degree .  8) . Extend BO to Z . (as shown below)   9). Since ZB is a straight line, so formed Angle AOZ = 90 Degree (angle sum property)   Now, to construct at 135 degree angle, we will construct the angle bisector of above angle AOB. And its done in the following steps:  10). Again use compass and open it to any convenient radius. And with O as center , draw an arc which cuts line segment OB at P and OA at Q . (as shown below)   11). Again use compass and opened to same radius (as of step 10).And with P & Q as center and, draw two arcs which cuts each other at point F. (as shown below)   12). Join OF and extend to E . (as shown below)   13). EO is the bisector of Angle AOB.  Therefore, Angle AOE = Angle EOB = ½ of Angle AOB = 45 Degree each (as shown below)   14). Now observe that:  Angle ZOA = 90°  Angle AOE = 45°  Add both the angles and we get  Angle ZOA + Angle AOE = 90° + 45° ..... (Statement 1)  Now observe the above diagram:  Angle ZOA + Angle AOE = Angle ZOE ..... (Statement 2)  From Statement 1 and 2, we get:  Angle ZOE = 135° (as highlighted with pink color)  

Gaurav Seth 4 years ago

The steps of constructions are: 

(a) Draw a line PQ and take a point O on it.

(b) Taking O as the centre and convenient radius, mark an arc, which intersects PQ at A and B.

(c) Taking A and B as centres and radius more than half of AB, draw two arcs intersecting each other at R.

(d) Join OR. Thus, ∠QOR = ∠POQ = 90 .

(e) Draw OD the bisector of ∠POR. Thus, ∠QOD is the required angle of 135.

(f) Now, draw OE as the bisector of ∠QOD=1/2 of 135=67.5

  • 1 answers

Gaurav Seth 4 years ago

AD and BC are equal perpendiculars to a line segment AB (see figure). Show that CD bisects AB.

<hr />

Given: AD and BC are equal perpendiculars to a line segment AB.
To Prove: CD bisects AB.
Proof: In ∆O AD and ∆OBC
AD = BC    | Given
∠OAD = ∠OBC    | Each = 90°
∠AOD = ∠BOC
| Vertically Opposite Angles
∴ ∠OAD ≅ ∆OBC    | AAS Rule
∴ OA = OB    | C.P.C.T.
∴ CD bisects AB.

  • 2 answers

Satyam Kumar 4 years ago

let the angle be 'x' Then as per problem x+4x=90 =>5x=90 =>x=90/5 =>x=18

Moksh Yadav 4 years ago

72
  • 1 answers

Nikita Padvi 4 years ago

O
  • 2 answers

Arpit Agnihotri 4 years ago

200+([-5]+[-4]) =200+(-5-4) =200+(-9) =200-9 =191 ans

Yogita Ingle 4 years ago

200+([-5]+[-4])

= 200 - 5 - 4

= 200 - 9

= 191

  • 1 answers

Ananya Sharma 4 years ago

Hlo? Let's do this question...... Soo, Given... a^7-ab^6 =a(a^6-b^6) a((a^3)^2-(b^3)^2) (a^3-b^3)(a^3+b^3) ......x^2-y^2=(x-y)(x+y)
  • 2 answers

Gaurav Seth 3 years, 11 months ago

 

Answer:

Step-by-step explanation:

 

Given:

 

 

squaring on both sides

 

 

 

Using the following identity

 

 

 

 

 

Gaurav Seth 3 years, 11 months ago

Answer: Step-by-step explanation: Given: squaring on both sides Using the following identity
  • 1 answers

Gaurav Seth 3 years, 11 months ago

a N S W E R

Factors of x³-3x²-10x+24

Factors of x³-3x²-10x+24= (x-2)(x-4)(x+3)

Step-by-step explanation:

Let the polyomial p(x)=x³-3x²-10x+24

= x³+(-2x²-x²)+(2x-12x)+24

=(x³-2x²)+(-x²+2x)+(-12x+24)

=x²(x-2)-x(x-2)-12(x-2)

=(x-2)(x²-x-12)

=(x-2)(x²-4x+3x-12)

=(x-2)[x(x-4)+3(x-4)]

=(x-2)[(x-4)(x+3)]

=(x-2) (x-4) (x+3)

Therefore,

Factors of x³-3x²-10x+24

= (x-2)(x-4)(x+3)

  • 1 answers

Gaurav Seth 3 years, 11 months ago

<div class="ateTopicHead" style="margin:0px; padding:0px; width:853px; text-align:start; -webkit-text-stroke-width:0px">

 

Find the value of 'a' if (x - a) is a factor of x5 - a2x3 + 2x + a + 3. Hence, factorise x2 - 2ax - 3.

</div> <div class="qsnDetails" style="margin:0px; padding:0px; text-align:start; -webkit-text-stroke-width:0px">

<font color="#000000">A N S W E R</font>

</div> <div class="expertBlock" style="margin:0px; padding:0px; text-align:start; -webkit-text-stroke-width:0px">

 

Let p(x) = x5-a2x3+2x+a+3

Since, (x-a) is a factor of p(x), so p(a) = 0

 

</div>
  • 1 answers

Meghna Thapar 4 years ago

Root comes from the Latin word radix, which means "starting point," and you can think of the root of something as the place it starts from, whether that's the root of a tree, or the root of a problem.

The major types are:

  • Fibrous Roots. Fibrous roots are found in monocot plants. ...
  • Taproots. Taproots are found in the majority of dicot plants. ...
  • Adventitious Roots. Adventitious roots are similar to the fibrous roots. ...
  • Creeping Roots. ...
  • Tuberous Roots. ...
  • Water Roots. ...
  • Parasite Roots.
  • 1 answers

Gaurav Seth 4 years ago

In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:

(i) OB = OC
(ii) AO bisects ∠A.

<hr />

Given: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O.
To Prove: (i) OB = OC
(ii) AO bisects ∠A.
Proof: (i) AB = AC    | Given
∴ ∠B = ∠C
| Angles opposite to equal sides of a triangle are equal

  • 2 answers

🖤 🖤 4 years ago

It's about how to prove that a following quadrilateral is a rectangle, square, parallelogram etc.... It can be proved using the congruence rules and the rules of quadrilateral

Prince Jain 4 years ago

No But you can go on YouTube and then understand the Ex 8.1
  • 1 answers

Meghna Thapar 4 years ago

The diameter measures the circle at its largest point across. Another definition that is related to the diameter is the radius. It is the measurement from the center of the circle to its edge. Diameter is defined as the length of a straight line through the center of a circle. An example of a diameter is the length of a line sliced down the center of a pie. There are two common abbreviations of diameter: dia. and diam. If you want to make either of these plural, simply add on an “s.”

  • 2 answers

Arpit Agnihotri 4 years ago

Triangle is the obtained figure obtained by plotting these points on the graph paper.

Prince Jain 4 years ago

The figure we obtained is an triangle
  • 1 answers

Krishna Chouhan 4 years ago

Infinite rational numbers
  • 4 answers

Raunak Rajak 4 years ago

5 to 15 is the range of given data

Abhay Singh 4 years ago

=15-5=10

Abhay Singh 4 years ago

Range=highest observations-lowest observations

Prachi Sethi 4 years ago

https://youtu.be/pIj-JQcBb9I
  • 2 answers

Prachi Sethi 4 years ago

https://youtu.be/pIj-JQcBb9I

Unknown Student 4 years ago

X(x-1) (x-5)
  • 3 answers

Prachi Sethi 4 years ago

https://youtu.be/pIj-JQcBb9I
Dghd

Gaurav Seth 4 years ago

Given,

Dimensions of the tank = 

4000 people requiring 150 litres of water per head per day

The total volume of water required = 

Let the number of days the water will last be 

We know,

The volume of a cuboid = 

 The volume of the water tank = 

According to question,

Therefore, the water in the tank will last for 3 days.

  • 5 answers

Beyon P Binoy 4 years ago

No, every whole number is not a natural number, as zero is not included in natural number.

Saumya Verma 4 years ago

Every whole number is not a natural number as whole number is combination of natural number including zero Every natural number can be a whole number

Nitin Tripathi 4 years ago

How

Nitin Tripathi 4 years ago

No

Akanksha Singh 4 years ago

Yes every whole number is a natural number.

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