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Yogita Ingle 5 years, 3 months ago
Line - When we join two distinct points then we get a line. A line has no endpoints it can be extended infinitely.
Angle - When two rays begin from the same endpoint then they form an Angle. The two rays are the arms of the angle and the endpoint is the vertex of the angle.
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Yogita Ingle 5 years, 3 months ago
| Prime Numbers between 1 and 100 | Factors | Prime Factorisation |
| 2 | 1, 2 | 1 x 2 |
| 3 | 1, 3 | 1 x 3 |
| 5 | 1,5 | 1 x 5 |
| 7 | 1,7 | 1 x 7 |
| 11 | 1,11 | 1 x 11 |
| 13 | 1, 13 | 1 x 13 |
| 17 | 1, 17 | 1 x 17 |
| 19 | 1, 19 | 1 x 19 |
| 23 | 1, 23 | 1 x 23 |
| 29 | 1, 29 | 1 x 29 |
| 31 | 1, 31 | 1 x 31 |
| 37 | 1, 37 | 1 x 37 |
| 41 | 1, 41 | 1 x 37 |
| 43 | 1, 43 | 1 x 43 |
| 47 | 1, 47 | 1 x 47 |
| 53 | 1, 53 | 1 x 53 |
| 59 | 1, 59 | 1 x 59 |
| 61 | 1, 61 | 1 x 61 |
| 67 | 1, 67 | 1 x 67 |
| 71 | 1, 71 | 1 x 71 |
| 73 | 1, 73 | 1 x 73 |
| 79 | 1, 79 | 1 x 79 |
| 83 | 1, 83 | 1 x 83 |
| 89 | 1, 89 | 1 x 89 |
| 97 | 1, 97 | 1 x 97 |
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Yogita Ingle 5 years, 3 months ago
Ratio of the present ages of Sonal and Manoj are 7:5
Let us assume, present age of Sonal is 7x years and present age of Manoj is 5x years, where x is the multiplier
10 years hence,
Sonal's age is 7x + 10 and Manoj's age is 5x + 10
Therefore, ratio of their age = 7x+10 : 5x+10
Given:
7x+10 : 5x+10 = 9:7
(7x+10) / (5x+10) = 9/7
7(7x+10) = 9 (5x+10)
49x + 70 = 45x + 90
4x = 20
x = 5
Therefore, present age of Sonal = 7x = 7 * 5 = 35 years
and present age of Manoj = 5x = 5 * 5 = 25 years
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Congruent segments are segments that have the same length. ≅ Points that lie on the same line are called collinear. A theorem is a mathematical statement that can be proved. The midpoint of a segment is a point that divides the segment into two congruent segments. Two line segments are congruent if they have the same length. They do not need to have the same position or orientation. ... However, congruency of line segments differs from equality of line segments in the sense that equality compares distance. For example, AB=CD because AB and CD represent the length of the lines.
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Yogita Ingle 5 years, 3 months ago
45-96=36+d
d = 45 - 96 - 36
d = 45 - 132
d = - 87
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