A point is randomly selected from the interior of the square pictured here: A square has its four vertices marked as A, B, C, and D. Side AD is labeled 1 foot length. Let denote the distance from the lower left-hand corner to the selected point. What are possible values of

Question:

A point is randomly selected from the interior of the square pictured here: A square has its four vertices marked as A, B, C, and D. Side AD is labeled 1 foot length. Let x denote the distance from the lower left-hand corner to the selected point. What are  values of x?

x = (0 to √2)

Step-by-step explanation:

Given:

Sides of a square labeled A, B, C, D

AD = 1 foot

Let x = distance from the lower left-hand corner to the point selected.

Since, it is a square, all sides are equal.

AB = 1 ft, BC = 1ft, CD = 1ft, AD = 1 ft

Since x is the distance from the lower left-hand corner to the selected point, here the lower left hand corner is point C.

Find the possible values of x.

C² = 1² + 1²

C² = 1 + 1

C² = 2

Take square root of both sides

√C² = √2

C = √2

Therefore, the possible values of x ranges from  0 to √2

X can be said to be continuous

answer: 59

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq