Select all of the expressions that are equivalent to the expression 3x − 12 − 2(x + 12).

3x − 12 − 2x + 24
3(x − 4) − 2x − 24
3(x − 4) − 2(x + 12)
3(x + 4) − 2(x + 12)
x + 12
x − 36

Second option

Third option

Last option

Step-by-step explanation:

You have the expression , you can find the following equivalent expressions:

Apply Distributive property:

Group the first two terms and factor out 3:

(Second option)

Apply Distributive property and then add the like terms:

(Last option)

Group the first two terms and factor out 3:

(Third option)

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

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'.