Three students attempt to define the geometric object called an angle. Can you match the teacher's comments to the definitions? Definition of an angle Teacher's comments Ivy's definition: The space between two intersecting lines. Angle measures help us describe rotations, but your definition doesn't work for the scometric object we call an angle. Ethan's definition: A figure formed by two rays. called the sides of the angle, that share a common endpoint, called the vertex of the angle, Your definition is incorrect and its precise meaning is unclear. Ebuka's definition: The exact degree of a rotation of a geometric figure in a coordinate plane. Excellent. You have a razor sharp intellect!

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.