Collinear points are points that lie on the same straight line.
Example: Points A, B, and C on a ruler are collinear if they form a straight path.
Let's say the cost price (CP) of the washing machine is x.
Given that the GST rate is 17%, the selling price (SP) would be:
SP = x + 0.17x
SP = 1.17x
Given that SP = Rs 15,912:
1.17x = 15912
x = 15912 / 1.17
x = 13600
Every constant term in an expression has degree 0 because it has no variable part.
The degree refers to the highest power of the variable in the term; constants have no variable, so the degree is zero.
The given statement:
If a : b = c : d then a : c = b : d
This is known as the Alternendo theorem.
The Alternendo theorem states that if a/b = c/d, then a/c = b/d.
A chord is a line segment with both endpoints on the circle.
Unlike a secant, it does not extend outside the circle.
The area of a square is given by the formula A = s², where A is the area and s is the length of a side.
Given A = 169 in², we can solve for s: s = √A = √169 = 13 inches.
Find LCM of 20, 30, and 40:
Prime factors:
20 = 2² × 5
30 = 2 × 3 × 5
40 = 2³ × 5
LCM = 2³ × 3 × 5 = 120 minutes
120 minutes = 2 hours, so if they ring together at 9:00 am, they will ring together again at 11:00 am.
Letting the number be x, the equation becomes x + 18 = 2x.
Solving gives x = 18, so the number is 18.
The expression ad - bc is called the Determinant of A, denoted as |A|.
To find the size of the class interval:
Size = (Greatest value - Lowest value) / Number of intervals
= (21 - 3) / 3
= 18 / 3
= 6
