Given :The lines l and m are parallel and t is the transversal.The interior angles on the same side of the transversal are $(2 x-8)°$ and $(3 x-7)°$.To do :We have to find each of the angles.Solution :We know that, The sum of the interior angles on the same side ... Read More

Given,3 kg 50 gWe know that,1 kg =1000 g1 g =11000 kg\frac{1}{1000} \ kg10001​ kgThis implies,50g = 50×11000 kg=5100kg=0.05 kg50\times \frac{1}{1000} \ kg=\frac{5}{100} kg=0.05\ kg50×10001​ kg=1005​kg=0.05 kg3 kg 50g = 3 kg + 50g = 3 kg + 0.05 kg=3.05 kg. 

Density of a substance is a measure of its mass per volume. The average density of an object equals its total mass divided by its total volume.

The correct answer is given below: 1. Metalloid - (E) Boron (Explanation: Metalloids are elements that possess the properties of both metals and non-metals. As boron possesses properties of both, metals and nonmetals, hence, it is a metalloid.) 2. Sonorous - ... Read More

In mathematics, a polynomial is an expression consisting of variables (also called indeterminate) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial ... Read More

Given: The given expression is $\frac{1}{x-2}+\frac{2}{x-1}=\frac{6}{x}$. To do :We have to find the value of x.Solution :$\frac{1}{x-2}+\frac{2}{x-1} =\frac{6}{x}$$\frac{(x-1)+2(x-2)}{(x-2)(x-1)}=\frac{6}{x}$$\frac{(x-1+2 x-4)}{(x^{2}-x-2 x+2)}=\frac{6}{x}$$\frac{3 x-5}{x^{2}-3 x+2}=\frac{6}{x}$$3 x^{2}-5 x=6 x^{2}-18 x+12$$3 x^{2}-6 x^{2}=5 x-18 x+12$$-3 x^{2}=-13 x+12$$3 x^{2}-13 x+12=0$$3 x^{2}-9 x-4 x+12=0$$3 x(x-3)-4(x-3)=0$ $(3 x-4)(x-3)=0$ $(3 x-4)=0$, $x=\frac{4}{3}$ $(x-3)=0$, $x=3$ Therefore, The value of x is ... Read More

Given :The given term is 0.019 km.To do :We have to convert 0.019 km into m.Solution :We know that,$1 km= 1000 m$Therefore,$0.019 km = 0.019 \times 1000 m = 19 m$.Therefore, 0.019 km can be expressed as 19 m.

Properties of Subtraction:1. If a and b are two whole numbers such that $a > b$ or $a = b$, then $a – b$ is a whole number. If $a < b$, then subtraction $a – b$ is not possible in whole numbers.2. The subtraction of whole numbers is not ... Read More

To do: Represent fraction on number lineSolution:Let us try to understand this with an example. Let us suppose we have to represent $\frac{3}{4}$ on number lineFirst Draw a number line and mark 0, 1 and 2.In $\frac{3}{4}$, the denominator is 4, so we divide the line between 0 and 1 ... Read More

The metals lose their shine or lustre on keeping in the air for a long time due to formation of a thin layer of oxide, carbonate or sulphide on their surface by the slow action of various gases present in the air. This is known as Rusting.In order to protect ... Read More