Solve the following equation.
-12d - 6 = -2(d + 3) - 10d

All real numbers

Step-by-step explanation:

Distribute the -2 to the parentheses:

-12d - 6 = -2(d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

Add like terms:

-12d - 6 = -12d - 6

Since each side is equivalent to -12d - 6, the answer is all real numbers

This is true for any value of d. (d ∈ Set of All Real Numbers (I couldn't find the symbol))

Step-by-step explanation:

1. Simplify both sides. You cannot simplify -12d - 6, but you can simplify -2(d + 3) - 10d. Use the distributive property to simplify this. It would be -2d + -2 * 3 -10d, which is equal to -12d - 6. If you simplify both sides, you would get that d=d, which would be true for all values of d, which means that d is equal to all real numbers, meaning that for any value for d, this would be true (d ∈ Set of All Real Numbers (I couldn't find the symbol)).

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'.