2. which of the following are the coordinates of the vertices of the following square with sides of length a?

The coordinates of the four vertices are;

O(0,0), W(a, 0), T(a, a), S(0, a)

We can see that point O is at the origin of the axis. Thus;

Coordinate of point O is (0, 0)

We are told that the sides of the square is a.

Thus; OW = OS = WT = ST = a

Thus;

The y coordinate of point S is a

The y coordinate of point T is a

The x coordinate of point W & T is a

The y coordinate of W is 0

Thus, the coordinates of the points are;

O(0,0), W(a, 0), T(a, a), S(0, a)

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The first option: O(0,0) , S(0,a) , T(a,a) , W(a,0)

Step-by-step explanation:

Point O : is the intersection between x-axis and y-axis ⇒ (0,0)

Point W : is falling over the x-axis, OW = length of the square = a ⇒ (a,0)

Point S : is falling over the y-axis, OS = length of the square = a ⇒ (0,a)

Point T : WT = a and SW = a ⇒ (a,a)

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step-by-step explanation:

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.