Question of Exercise 3 (True and False)

Linear equations in one variable of Class 8

Question
The age of father is 3 times the age of the son. If sum of their ages is 48 years, then the age of father and son are 35 and 12 years respectively

Frequently Asked Questions

Factorize x2+x-6

Solution:

Explanation:

On factoring the equation, we get,

x2+x-6

x2+3x-2x-6

x(x+3)-2(x+3)

(x+3)(x-2)

Final Answer:

The simplified form of the equation x2+x-6 is (x+3)(x-2).

 

 

 

Factorize x^2-2x-8

Solution:

Explanation:

We have;

x2-2x-8

x2-4x+2x-8

x(x-4)+2(x-4)

(x-4) (x+2)

x=4,x=-2

Final answer:

Hence, we factorized the given expression as, x=4,x=-2

 

 

The opposite angles of a parallelogram are

are (3x - 2) and (x + 48) Find the measure of each angle of the parallelogram.

 

Solution:

Explanation:

Let the parallelogram be ABCD & the angles of parallelogram be <A,<B,<C & <D

From the given question, opposite angles of a parallelogram are (3x-2)  &  (x+48).

Let <A=3x-2  &  <B=x+48

As we know that, “the opposite angles of a parallelogram are always equal”. Therefore, we can write;

(3x-2)=(x+48)

⇒3x-x=48+2

⇒2x=50

⇒x=50/2

⇒x=25

Substituting the value of x in 3x-2, we get;

3(25)-2

=75-2

=73º

⇒<A=<C=73

Finding the measure of other two angles:

We know that, the sum of adjacent angles of a parallelogram is equal to 180.

∴ <A+<B=180º

⇒73º+<B=180º

⇒<B=180º-73º

⇒<B=107º

∴ <D=107º

Therefore, the measure of each angle of the parallelogram is <A=73º,<B=107º,<C=73º,<D=107º.

Final answer:

Hence, we measured all the angles of parallelogram as;<A=73º,<B=107º,<C=73º,<D=107º.

 

 

In the given figure the value of x is

valuex

Solution:

Explanation:-

valuex1

Final answer:-

The value of x is 125º.

 

Estimate the value of square root

square root :√22

Solution:

digit at one

digit at one1

Final Answer: The estimated square root of √22 is 4.690.

 

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