Complete Question
Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A line can be produced indefinitely on both sides.
(iv) If two circles are equal, then their radii are equal.
(v) if AB=PQ and PQ=XY, then AB=XY.
A (i),(ii) - True
(iii),(iv),(v)-False
B(i),(ii),(iii) -True
(iv),(v)-False
C (i),(ii) -False
(iii),(iv),(v)-True
D (i),(ii),(iii) -False
(iv),(v)-True
Answer:
The correct option is C
Step-by-step explanation:
i is false because several lines can pass through a single point
ii is false because only one line can pass through two distinct points
iii is true because you can extend a line from both points (start and end points )
iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal
v is true because from Euclid's First Axiom , if a= c and c = d the a = d
Answer:
9 hours
Step-by-step explanation:
12x+32=140
so
140-32=108
108/12= 9
x=9
The probability of landing on the shaded region of the figure is 0.10
<h3>How to find the probability of landing on the shaded region?</h3>
The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²
area of the smaller region = πr² = 3.14 × 8² = 200.96 cm²
Therefore,
the probability of landing on the shaded region of the figure = 200.96 / 1962.5
the probability of landing on the shaded region of the figure = 0.10
learn more on probability here: brainly.com/question/22200970
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<h3>
Answer: 23.13 square meters</h3>
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Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
