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Find the Measure of Each Angle of an Equilateral Triangle

An important property of an equilateral triangle is that 'All the sides are of equal measurements'. Since, the sum of interior angles of a... View Article

Write down a pair of integers whose (a) sum is —7(b) difference is —10 (c)sum is 0

The pair of integers for the options given are as follows (a) -2-5 = -7 (b) -2-8 = -10 (c) -5+5 = 0... View Article

Evaluate the value of (104) to the power 3 using suitable identities

Evaluate (104)³=(100 + 4)³use ( a +b)³ = a³ + b³ + 3ab( a + b)we got( 100 + 4)³ = ( 100)³ +(4)³... View Article

Solve The Following Equations 5x−2=18 and check your answers.

5x − 2 = 18 = 5x = 20 x = 20/5 x = 4 check: 5x − 2 = 18 x=4 5 * 4 − 2 = 18 20 - 2 = 18 Therefore, x = 4. its proved.... View Article

Draw A Object To Show The Number Value

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Factorise: 2X^3-3X^2-17X+30

2x3 - 3x2 - 17 x + 30 = 2x3 + 2x2 −12x − 5x2 −5x + 30 = 2x (x2 + x − 6) − 5(x2 + x − 6) = (x2 + x −... View Article

Find A Quadratic Polynomial, The Sum Of Whose Zeroes Is 4 And One Zero Is 5

Sol: Given α + β = 4 α * β = 5 Let α and β are the zeros of a quadratic equation. A Quadratic Polynomial =... View Article

3, 9, 6, 36, 30, ? What Will Be The Ans In The Place Of “?” Of This Series

For an even number, we will multiply the odd number at (n-1)th place with the number n. For odd numbers, we will add a prime number from 3. Let n... View Article

A man throws the ball with the same speed vertically upwards one after the other at an interval of 2 seconds. what should be the speed of the throw so that more than two balls are in the sky at any time? (given g=9.8m/s2)

Sol: The time taken by ball to reach maximum height v = u − gT At maximum height, final speed is zero ie, v = 0 so, u = gT or In 2s, =... View Article

A Household Products Is Marked 30% Above Its Cost Price The Percentage Discount Allowed To Gain 17% Is?

Let the cost price = Rs 100 Then, Marked price = Rs 100 + 30 = Rs 130 Required gain = 17% So Selling price = Rs 117 Discount = 130 - 117 = 13... View Article

Using The Number Line, Write The Integer Which Is 3 Less Than -2.

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3 (t – 3) = 5 (2t – 1) Solve The Equation

3 (t – 3) = 5 (2t – 1) By removing brackets =3t - 9 = 10t - 5 By transposing 9 to RHS and 10t to LHS we get = 3t - 10t - 9 = 5 = -7t... View Article

All ………. Triangles Are Similar. (A) Reflex (B) Isosceles (C) Right-angled (D) Equilateral

The answer is (D) Equilateral. All Equilateral triangles are similar and this is because a property of equilateral triangles includes: All of... View Article

An Integer Greater Than Both The Integers

Consider any two integers. Let us take 7 and -2 Now by substracting 7 and -2, we get = 7 - (−2) = 7 + 2 = 9 Therefore, the integer 9... View Article

The Upright Pyramid Of Number Is Absent In 2

The answer is (A) Forest. A pyramid of numbers shows the total number of individual organisms at each level in the food chain of an ecosystem.... View Article

Let A = The Set Of All Natural Numbers Less Than 8, B = The Set Of All Prime Number Less Than 8, C = The Set Of Even Prime Number. Verify That (i) (A ∩ B) x C = (A x c) ∩ (B x C) (ii) A x (B – C) = (A x B) – (A x C)

Given; A = The Set Of All Natural Numbers Less Than 8 A = {1,2,3,4,5,6,7} B = The Set Of All Prime Number Less Than 8 B = {2,3,5,7} C = The... View Article

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