Section:AI.Question number I to 6 carries one mark eachrite the genera

1.	Section:AI.Question number I to 6 carries one mark eachrite the general form of associative property under addition.2. Sum of interior angles in a quadrilateral is.3. Find the mean of first five odd numbers.4. Square of any odd number is always.5. Write the formula to find compound interest.6. Ify+3-10 find ySection :lBI.Question number 7 to 12 carries one mark each.7. Write any two properties of square.8. Find the median of first ten even numbers9. Verify Euler's formula for cube.10.Draw cuboids and mention top view, front view and side view.11.Explain distributive property under multiplication over addition with anexample.12.The perimeter of a rectangle is 13cm and its width is 23 cm. find the length.Section :CQuestion number 13 to 22 carries one mark each.13.Find the square of 38 without actual multiplication14.State and prove angle sum property of quadrilateral15.The perimeter of a parallelogram ABCD, whose adjacent side measures 7emIII.and 13cm.16.Find any three rational numbers between and17.The sum of three consecutive multiple of 11 is 363.find the multiples.18·Solve 2yt3-3片19.Make a grouped frequency distribution to the following.26丘20, 15. 12,4635,28, 30, f7,g,9, to, 14,h%2,42,43,3 ,H ,27, ts,16,ly,29,38,49,47,43,41,31
Answer» 14)Theorem and Proof of angle sum property of a quadrilateral. Prove that the sum of all the four angles of a quadrilateral is 360°. Proof:Let ABCD be a quadrilateral. Join AC. Clearly, ∠1 + ∠2 = ∠A ...... (i) And, ∠3 + ∠4 = ∠C ...... (ii) We know that the sum of the angles of a triangle is 180°. Therefore, from ∆ABC, we have ∠2 + ∠4 + ∠B = 180° (Angle sum property of triangle) From ∆ACD, we have ∠1 + ∠3 + ∠D = 180° (Angle sum property of triangle) Adding the angles on either side, we get; ∠2 + ∠4 + ∠B + ∠1 + ∠3 + ∠D = 360° ⇒ (∠1 + ∠2) + ∠B + (∠3 + ∠4) + ∠D = 360° ⇒ ∠A + ∠B + ∠C + ∠D = 360°[using (i) and (ii)]. Hence, the sum of all the four angles of a quadrilateral is 360°. please specify question that you wants to be answered I need all questions answee prove that the distributive property holds for the rational numbers verif with example prove that the distributive property holds for the rational numbers verif with example

Section:AI.Question number I to 6 carries one mark eachrite the general form of associative property under addition.2. Sum of interior angles in a quadrilateral is.3. Find the mean of first five odd numbers.4. Square of any odd number is always.5. Write the formula to find compound interest.6. Ify+3-10 find ySection :lBI.Question number 7 to 12 carries one mark each.7. Write any two properties of square.8. Find the median of first ten even numbers9. Verify Euler's formula for cube.10.Draw cuboids and mention top view, front view and side view.11.Explain distributive property under multiplication over addition with anexample.12.The perimeter of a rectangle is 13cm and its width is 23 cm. find the length.Section :CQuestion number 13 to 22 carries one mark each.13.Find the square of 38 without actual multiplication14.State and prove angle sum property of quadrilateral15.The perimeter of a parallelogram ABCD, whose adjacent side measures 7emIII.and 13cm.16.Find any three rational numbers between and17.The sum of three consecutive multiple of 11 is 363.find the multiples.18·Solve 2yt3-3片19.Make a grouped frequency distribution to the following.26丘20, 15. 12,4635,28, 30, f7,g,9, to, 14,h%2,42,43,3 ,H ,27, ts,16,ly,29,38,49,47,43,41,31

Answer»

14)Theorem and Proof of angle sum property of a quadrilateral.

Prove that the sum of all the four angles of a quadrilateral is 360°.

Proof:Let ABCD be a quadrilateral. Join AC.

Clearly, ∠1 + ∠2 = ∠A ...... (i)

And, ∠3 + ∠4 = ∠C ...... (ii)

We know that the sum of the angles of a triangle is 180°.

Therefore, from ∆ABC, we have

∠2 + ∠4 + ∠B = 180° (Angle sum property of triangle)

From ∆ACD, we have

∠1 + ∠3 + ∠D = 180° (Angle sum property of triangle)

Adding the angles on either side, we get;

∠2 + ∠4 + ∠B + ∠1 + ∠3 + ∠D = 360°

⇒ (∠1 + ∠2) + ∠B + (∠3 + ∠4) + ∠D = 360°

⇒ ∠A + ∠B + ∠C + ∠D = 360°[using (i) and (ii)].

Hence, the sum of all the four angles of a quadrilateral is 360°.

please specify question that you wants to be answered

I need all questions answee

prove that the distributive property holds for the rational numbers verif with example

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