Showing posts with label Exercise 19 B. Show all posts
Showing posts with label Exercise 19 B. Show all posts

S.chand Class 8 Maths Solution Chapter 19 Graphical Representation of Data Exercise 19 B

 Exercise 19 B

Question 1

1. Represent the following distribution of ages (in years) of 35 teachers in a school by means of a histogram.

Age (in years)25-3030-3535-4040-4545-50
Number of Teachers1211813
Draw histograms for the following frequency distributions.

2.
Size0-1010-2020-3030-4040-5050-60
Frequency51020252010

3.

Class Interval0-55-1010-1515-2020-25
Frequency10259205


4.

Marks0-1010-2020-3030-4040-50
No. of students591475


5. Complete: In the histogram below-people were surveyed, and-of them own between 20 and 60 books.

6. Complete: In the histogram shown below-students received grades between 70 and 100 , and students in all took the test.

<fig>


7. For the histogram shown alongside :

(a) What is the total number of students over whom our study has been conducted?

(b) Which time interval has the maximum number of students studying?

(c) Which time interval has the minimum number of students studying ?

(d) How many times is the number of students in the time interval $3 \mathrm{hrs}-6 \mathrm{hrs}$ greater than the number of students in the time interval $9 \mathrm{hrs}-12 \mathrm{hrs}$ ?

<fig>



8. For the histogram given alongside answer the questions that follow :

(a) What is the total number of girls in the class?

(b) Which group contains the maximum number of girls?

(c) Which groups have the minimum number of girls and how many?

(d) How many girls have a height of $145 \mathrm{~cm}$ or more?

<fig>


S.chand books class 8 maths solution chapter 19 Special Types of Quadrilaterals exercise 19 B

 EXERCISE 19 B


Q1 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 1

In a parallelogram PQRS, ∠S=75° .Determine the measures of ∠P and ∠Q.

Sol :








Q2 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 2

The measures of two adjacent angles of a parallelogram are in the ratio 2:7. Find the measure of each of the parallelogram.

Sol :











Q3 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 3

Two opposite angles of a parallelogram are 6x-17° and x+63°. Find the measure of each angle of the parallelogram.

Sol :













Q4 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 4

Can a quadrilateral ABCD be a parallelogram , if
(i) AB=DC=5cm, AD=3.8cm and BC=3.6cm
(ii) ∠A=95° , ∠B=75°
(iii) ∠B=105° , ∠D=75°

Sol :











Q5 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 5

EFGH is a parallelogram.Find x, y and z . Also , state the properties you use to find them.






Sol :











Q6 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 6

ABCD and EFGH are parallelograms. Find the measure of x





Sol :












Q7 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper


Question 7

PQRS is a parallelogram. Find x and y. The given lengths are in cm






Sol :

Diagonals bisect each other in parallelogram

∴x+7=20

x=20-7=13


also, x+y=16

13+y=16

y=16-13=3



Q8 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 8

In a ΔABC, D, E, F are respectively, the mid-points of BC , CA and AB. If the lengths of sides AB,BC and CA are 17 cm, 18 cm and 19 cm respectively, find the perimeter of ΔDEF






Sol :

The segment joining the midpoints of two sides of a triangle is parallel to the third side and half as long as the third side.













Q9 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper


Question 9

In the figure, ABCD is a parallelogram in which ∠A=60°. If the bisectors of ∠A and ∠B meet at P,prove that AD=DP,PC=BC and DC=2AD





Sol :













Q10 | Ex-19D | Class-8 | Composite maths | Special Types of Quadrilaterals | Schand | Chapter 19 | myhelper

Question 10

In the figure, ABCD is a parallelogram and E is the mid-point of side BC. If DE and AB when produced meet at F, prove that AF=2AB.





Sol :



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