Answer:
Angles opposite one another that share a vertex are called <u>vertical</u> angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are <u>congruent</u>
When two parallel lines are crossed by another line called the <u>transversal</u> the angles created inside the parallel lines but on opposite sides of the crossing lines are called <u>alternate</u> <u>interior</u> angles. Angles of this type have the same measurement as one another. Two figures are <u>similar</u> if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
Answer:
1) -3x + 5 = -10
-3x = -15
x= -15/-3
X = 5
3) 4-6x = -8
-6x = -8-4
-6x = -12
X = 2
2) 2(x-5)= -5
2x - 10 = -5
2x = 5
x = 2.5
4) -0.5(2x+6) = -6
-x -3 = -6
-x = -6+3
-X = -3 ( both negative will get cancel)
X = 3
15. 
Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...


Step 2: Combine like terms (
's go with
's)




Step 3: Combine like terms (
's go with
's)




Step 4: Combine like terms (normal numbers go with normal numbers)

1 + 2
3

You were correct!
16. 
I don't really know how to explain this one but I got: (7m-6n)(7m-6n)