-4y=-2x+8 and 3x-6y=6
Perpendicular, parallel, or neither?

The two lines are parallel

Step-by-step explanation:

Let us use these rules to solve the question

∵ The 1st equation is -4y = -2x + b

∴ a = -2 and b = -4

∵ m = in this form of the equation

∴ m =

∴ m1 =

∵ The 2nd equation is 3x - 6y = 6

∴ a = 3 and b = -6

∵ m = in this form of the equation

∴ m =

∴ m2 =

∵ m1 = m2

∴ The slopes of the two lines are equal

→ That means the two lines are parallel

∴ The two lines are parallel

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

1e+27

step-by-step explanation: