Math, asked by Anonymous, 4 months ago

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Answered by RitikaKandari
2

Answer:

8. Let the number be x

According to the question

8x−10=6x+4

8x−6x=10+4

2x=14

x=7

Therefore the number is 7

9. -7/8

10. x+y=58 (i)

x=58-y (ii)

x-y=28. (iii)

Substitute value of x in equation iii

58-y-y = 28

58-2y = 28

58-28 = -2y

30/(-2) = y

y = -15

Substitute value of y in equation ii

x-(-15) = 28

x+15 = 28

x = 28-15

x = 13

11. Proof: In the quadrilateral ABCD,

∠ABC, ∠BCD, ∠CDA, and ∠DAB are the internal angles.

AC is a diagonal

AC divides the quadrilateral into two triangles, ∆ABC and ∆ADC

We have learned that the sum of internal angles of a quadrilateral is 360°, that is, ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°.

let’s prove that the sum of all the four angles of a quadrilateral is 360 degrees.

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

Now consider triangle ADC,

∠D + ∠DAC + ∠DCA = 180° (Sum of angles in a triangle)

Now consider triangle ABC,

∠B + ∠BAC + ∠BCA = 180° (Sum of angles in a triangle)

On adding both the equations obtained above we have,

(∠D + ∠DAC + ∠DCA) + (∠B + ∠BAC + ∠BCA) = 180° + 180°

∠D + (∠DAC + ∠BAC) + (∠BCA + ∠DCA) + ∠B = 360°

We see that (∠DAC + ∠BAC) = ∠DAB and (∠BCA + ∠DCA) = ∠BCD.

Replacing them we have,

∠D + ∠DAB + ∠BCD + ∠B = 360°

That is,

∠D + ∠A + ∠C + ∠B = 360°.

Or, the sum of angles of a quadrilateral is 360°. This is the angle sum property of quadrilaterals.

12. 17/24

13. (2/5)³×(25/4)² = (8/125)(625/16)

= 5000/2000

= 5/2

14. perimeter of rectangular park = 400 m

let breadth be x

therefore,

2(l+b) = 400

2(26+b+b) = 400

(26+b+b) = 400/2

(26+b+b) = 200

2b = 200-26

2b = 174

b = 174/2

b = 87

therefore, breadth = 84m and length = 84+26m = 110 m

Answered by Vishal101100
8

Hmm....kill the intension that u r inferior and stay selfish!

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