Which of the following statements best describes an angle that is in standard position? a. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the negative ​ x-axis. b. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive​ y-axis. c. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the negative​ y-axis. d. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive​ x-axis.

D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive axis.

A Cartesian coordinate system in two dimensions (also called a rectangular coordinate system or an orthogonal coordinate system) is defined by an ordered pair of perpendicular lines (axes), a single unit of length for both axes, and an orientation for each axis.

An angle can be defined as the figure formed by two rays meeting at a common end point.

D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive axis.

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D. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive x-axis.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.