Q-2 Fill in the blanks so that the following statements are true. (20° 3 VII. The measure of the complementary angle of an angle with measure40° is 140°, 50°) VIII. The longest chard of a circle is its (Arc, arc, diameter) IX. The Area of an equilateral triangle with side 10 cm = cm?($3,253,573) X. The median of the first four even numbers is ( 5, 10, 20 ) XI. A card is drawn at random from a well shuffled pack of 52 cards. Then the probability of that card being a king is (azota) XII. When two balanced dice are rolled simultaneously, the probability of getting the sum of numbers on dice as 9 is 2-3 Write the following statements true or false. XIII. The line segment joining the center of a circle and any point on the circle is the radius of the circle. XIV. The point (0, 3) lies on the Y axis XV. At least 3 lines are needed to create a closed figure. XVI. The measure of each angle of the angle of the linear pair must be 90°.
Answers
40
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Given :- Fill in the blanks so that the following statements are true.
Solution :-
1). The measure of the complementary angle of an angle with measure 40° is 140°.
- False
- sum of complementary angles = 90°
- so, other angle will be 90 - 40° = 50° . not 140° .
2) The longest chard of a circle is its (Arc, arc, diameter) .
- Diameter .
- Diameter is the longest chard of a circle .
3) The Area of an equilateral triangle with side 10 cm = cm?($3,253,573)
- (√3/4) * (side)² = (√3/4) * (10)² = 25√3 cm²
4) The median of the first four even numbers is ( 5, 10, 20 )
- Median of 2, 4, 6 , 8 = [(4/2) th term + (4/2 + 1)th term]/2 => (2nd term + 3rd term)/2 = (4 + 6) / 2 = 10/2 = 5 .
5) A card is drawn at random from a well shuffled pack of 52 cards. Then the probability of that card being a king is ?
- Required probability = 4/52 = 1/13
6) When two balanced dice are rolled simultaneously, the probability of getting the sum of numbers on dice as 9 is 2/3 Write the following statements true or false.
- sum as 9 = (6,3) , (3,6) , (5,4) , (4,5)
- Required probability = 4/36 = 1/9
7) The measure of each angle of the angle of the linear pair must be 90°.
- False .
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