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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solutions 124 and 125 are correct. Brilliant!

126. If the centroid of a triangle is at (1,3) and two of its vertices are (-7,6) and (8,5), then find the third vertex of the triangle.

127. Find the angular elevation (angle of elevation from the ground level) of the sun when the length of the shadow of a 30 meter long pole is

meters.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solutions 126 and 127 are correct. Immaculate!

128. If a sum of two consecutive odd integers is 20, find the numbers.

129. Find the equation of a straight line passing through the point (1,2) and perpendicular to the line y = 7.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Olinguito****Member**- Registered: 2014-08-12
- Posts: 649

*Bassaricyon neblina*

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi Olinguito,

The solutions 128 and 129 are correct. Excellent!

130. Factorize:-

.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solution 130 is perfect. Excellent!

131. Find the value of 'a' and 'b' if

is a perfect square.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Olinguito****Member**- Registered: 2014-08-12
- Posts: 649

*Bassaricyon neblina*

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi Olinguito and bobbym,

Splendid, bobbym!

132. Find area of the quadrilateral formed by the points A(6,9), B(3,7), C(4,2), and D(7,4).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solution 132 is correct. Brilliant!

#133. If A = {4, 6, 7, 8, 9}, B = {2, 4, 6}, and C = {1, 2, 3, 4, 5, 6}, then find

.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Olinguito****Member**- Registered: 2014-08-12
- Posts: 649

*Bassaricyon neblina*

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi Olinguito and bobbym,

The solution 133 is perfect. Brilliant, Olinguito and bobbym!

134. If (7,3), (6,1), (8,2), and (P,4) are the vertices of a parallelogram taken in order, find the value of P.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solution 134 is correct. Splendid!

135. Find the values of

in terms of x and y if and136. Find the value of

.Remember,

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

137. Find the sum of all natural numbers between 300 and 500 which are divisible by 11.

138. Find the total area of 12 squares whose sides are 12 centimeters, 13 centimeters, ..... 23 centimeters respectively.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solutions 137 and 138 are correct. Splendid!

139. The vertices of Δ ABC are A(2,1), B(6,-1), and C(4,11). Find the equation of the straight line along the altitude from the vertex A.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solution 139 is perfect. Marvelous!

140. If

141. Factorize :

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi bobbym,

The solutions 140 and 141 are correct. Splendid!

142. Find the centroid of the triangle whose vertices are A(4,-6), B(3,-2), and C(5,2).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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