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Answered on 05 Mar Learn Lines and Angles
Sadika
If the complement of an angle is 28°, then the complement of the angle and the angle itself add up to 90°.
Let the angle be x degrees.
So, we have:
x + 28 = 90
Now, let's solve for x:
x = 90 - 28
x = 62
Now, we know that the supplement of an angle is the amount by which the angle needs to be increased to reach 180°.
So, the supplement of the angle is:
180 - x
Substituting the value of x, we get:
180 - 62 = 118
Therefore, the supplement of the angle is 118°.
read lessAnswered on 05 Mar Learn Practical Geometry
Sadika
1. Draw three non-collinear points A, B, and C.
2. Connect these points to form triangle ABC.
3. Draw a line through vertex A parallel to side BC. Let's call this line a'.
4. Draw a line through vertex B parallel to side AC. Let's call this line b'.
5. Draw a line through vertex C parallel to side AB. Let's call this line c'.
Answered on 05 Mar Learn Practical Geometry
Sadika
To draw triangle ABC with side lengths AB = 5.5 cm, BC = 6 cm, and CA = 7 cm, as well as the perpendicular bisector of side BC, follow these steps:
The triangle ABC is now drawn with side lengths AB = 5.5 cm, BC = 6 cm, and CA = 7 cm, and the perpendicular bisector of side BC is also drawn.
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Sadika
Answered on 07 Mar Learn Symmetry
Sadika
An example of a geometrical figure that has neither a line of symmetry nor rotational symmetry is a scalene triangle. A scalene triangle is defined by having all three sides of different lengths and all three internal angles of different measures. This lack of uniformity means it cannot be divided into two mirror-image halves by any line (i.e., it has no line of symmetry). Additionally, it cannot be rotated around its center to a position where it looks exactly the same as its original position (i.e., it has no rotational symmetry), except at rotations of 360°, which applies to all figures as a return to the original orientation and is generally not considered when discussing rotational symmetry.
Answered on 07 Mar Learn Symmetry
Sadika
An example of a letter in the English alphabet that has no line of symmetry is the letter "F". The letter "F" does not have a line through which it can be divided into two mirror-image halves, either horizontally or vertically.
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Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 07 Mar Learn Symmetry
Sadika
The letter "Z" has rotational symmetry of order 2. This means that if you rotate the letter "Z" by 180 degrees, it appears the same as its original orientation.
Answered on 07 Mar Learn Perimeter and Area
Sadika
To find the cost of painting the wall, we first need to calculate the area of the wall excluding the area covered by the door, and then multiply it by the cost per square meter.
Calculate the cost:
So, the cost of painting the wall is Rs 235.
Answered on 07 Mar Learn Perimeter and Area
Sadika
First, let's find the perimeter of the rectangle, which is equal to the length of the wire:
Perimeter of the rectangle = 2 * (length + breadth) = 2 * (40 cm + 22 cm) = 2 * 62 cm = 124 cm
Since the wire is bent to form a square, the perimeter of the square will also be 124 cm.
Now, let's find the measure of each side of the square:
Perimeter of the square = 4 * side
So, 4 * side = 124 cm
Dividing both sides by 4:
side = 124 cm / 4 = 31 cm
Each side of the square will measure 31 cm.
Now, let's find the area enclosed by each shape:
Area of the rectangle = length * breadth = 40 cm * 22 cm = 880 cm²
Area of the square = side * side = 31 cm * 31 cm = 961 cm²
Comparing the two areas, we find that the square encloses more area than the rectangle.
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Affordable fees Flexible Timings Choose between 1-1 and Group class Verified Tutors Answered on 07 Mar Learn Perimeter and Area
Sadika
To find the total area of glass required for 12 panes, we first find the area of one pane and then multiply it by the number of panes.
Area of one pane = Length × Breadth = 25 cm × 16 cm = 400 cm²
Now, we have to convert the area from square centimeters to square meters, as 1 square meter equals 10,000 square centimeters.
So, 400 cm² = 400 / 10,000 m² ≈ 0.04 m²
Therefore, the area of one pane is approximately 0.04 square meters.
To find the total area required for 12 panes, we multiply the area of one pane by the number of panes:
Total area = Area of one pane × Number of panes = 0.04 m² × 12 = 0.48 m²
So, 0.48 square meters of glass will be required for 12 panes.
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