What is the reason for each step in the solution of the equation?
12−5x+6x=412−5x+6x=4
drag and drop the reasons into the boxes to correctly complete the table.
12−5x+6x=4
12+x=4
x=−8
- given
- distributive property
- combine like terms
- subtraction property of equality
- associative property

Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.

The students in a class were asked how many siblings they have. the data obtained is represented in the dot plot. the number of students who have no siblings is . the number of students who have three or more siblings is .

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?