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Gaurav Seth 4 years, 4 months ago
Q: If two lines intersect prove that the vertically opposite angles are equal.
A n s w e r
Given Two lines AB and CD intersect at point O.
Posted by Abul Mazumder 4 years, 4 months ago
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Gaurav Seth 4 years, 4 months ago
We are required to the expression '3 + root 2.6' on the number line.
Since, we know,
3 + root 2.6 = = 3 + 1.61 = 4.61
So, it is required to represent the number 4.61 on the number line.
As we know,
The number 4.61 lies between the numbers 4.6 and 4.7.
Posted by Davuluri Hanumantharao 4 years, 4 months ago
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Yogita Ingle 4 years, 4 months ago
p(t) = 2 + t + 2t2 - t3
p(0) = 2 + 0 + 2(0) -(0)
p(0) = 2
p(1) = 2 + 1 + 2(1) -(1)
= 2 + 1 + 2 - 1
= 4
Posted by Aditya Raj 4 years, 4 months ago
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Yogita Ingle 4 years, 4 months ago
x+1/x =2+√3+1/2+√3
=[2+√3][2+√3]+1/2+√3 [taking LCM ]
=[2+√3]2+1/2+√3
=4+3+[4×√3]+1/2+√3
=8+4√3/2+√3
=[8+4√3/2+√3]×[2-√3/2-√3] [by rationalising the denominator]
=[8+4√3][2-√3]/[2]2-[√3]2
=16-8√3+8√3-4[√3]2
=16-12
x+1/x=4
[x+1/x]3=43 [cubing both side]
x3+1/x3+3×x×1/x[x+1/x]=64 [using {x+y}3]
x3+1/x3+3×4=64 [substituting the value of x+1/x]\
x3+1/x3=64-12
x3+1/x3=52
Posted by Basnti Khatri 4 years, 4 months ago
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Yogita Ingle 4 years, 4 months ago
now,
(x³+x²+x+1) / (x+1)
= [x²(x + 1) + 1(x +1)] / (x+1)
=[(x² + 1)(x+ 1)]/(x+1)
= x² + 1
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Meghna Thapar 4 years, 4 months ago
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
There are six important properties of parallelograms to know:
- Opposite sides are congruent (AB = DC).
- Opposite angels are congruent (D = B).
- Consecutive angles are supplementary (A + D = 180°).
- If one angle is right, then all angles are right.
- The diagonals of a parallelogram bisect each other.
- Each diagonal of a parallelogram separates it into two congruent triangles.
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