An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. write an expression for the area of the shaded regions.

The expression would be written as

Area of hexagon - Area of the pentagon + Area of the square - area of the rectangle.

We can see that the Hexagon has three shapes inside it

We have to find the areas of each of these shapes and perform basic arithmetic to find the area of the shaded regions.

Read more on the area of a shape here:

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step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)