There is a geometric theorem that says "If two lines in a plane are
perpendicular to the same line, they are parallel to each other." Explain why this
is true by writing and comparing equations for two different lines that are
perpendicular to y=-1/3x

Step-by-step explanation:

For a line to be perpendicular to another line, its slope must be the negative inverse of the original line’s.

For example, the negative inverse of 3x is -1/3 x.

The line y = 3x is perpendicular to y = -1/3 x. Any line with a slope of 3x is perpendicular regardless of its y-intercept.

Plotted on the graph are the equations:

Y = 3x

Y = 3x + 3

Y = - 1/3 x

As you can see, the lines with the slope of 3x are perpendicular to the third line regardless of their y-intercepts. Only slope matters in regards to parallel and perpendicular lines.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

d

step-by-step explanation: