The equation would be: (x + 6)^2 + (y + 3)^2 = 25
This equation will produce a circle. If you add the numbers inside the parenthesis to be squared, you can center of the circle. Thus, translating the shape.
Answer:
1. AB ~= DF
2. Definition of Congruent
3. Reflexive Property of Congruency
4 BD=BD
6. AB+BD=AD; DF+BD=BF
7. Substitution Property of Equality
8. Definition of Congruent
Step-by-step explanation:
1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).
2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.
3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.
4. Remember if something is congruent then it is equal.
6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.
7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.
8. If two things are congruent then they are equal by definition of congruency.
Answer:
-10x+2
Step-by-step explanation:
22-5(2x+4)
22-10x-20
2-10x
-10x+2
Answer:
let the daughter age be x
let mother age be 3x
Step-by-step explanation:
x+3x= 80
4x = 80
x= 80\4
x=20
daughter age is 20
mather age= 80 -20
= 60
daughter age 20
mother age 60
Answer:
x = 19
Step-by-step explanation:
Vertical angles are equal
So
7x - 8 = 6x + 11
7x - 6x = 11 + 8
x = 19
