Answer:10%
Step-by-step explanation:
That would be the first choice, the transitive property of congruence
How did I get it? I just know my properties of relations:
The usually definitions apply to equality; congruence is essentially the same thing.
Reflexive Property: a=a
Symmetric Property: If a=b then b=a
Transitive Property: If a=b and b=c then a=c
When a relation is reflexive, symmetric and transitive it is called an equivalence relation and it divides the elements into equivalence classes.
Distributive Property. There is no distributive property of equality or congruence. The distributive property of multiplication over addition states: a(b+c)=ab+ac.
The value of a dimes are 10 cents
First, let's assign two variables: one for the name of the limestone statue, and one for the name of the marble statue. 'L' will represent the age of the limestone, and 'm' represents the age of the marble statue.
With the given, we can make two equations:
L = m + 56 (A limestone statue is 56 years older than a marble statue)
L + 12 = 3(m + 12) (In 12 years, the limestone will be three tikes as old as the marble statue)
Thanks to the first equation, we already have a value for L, m + 56.
Input it into the second equation:
(m + 56) + 12 = 3(m + 12)
Simplify:
m + 68 = 3m + 36
Subtract:
68 = 2m + 36
Subtract:
32 = 2m
Divide:
16 = m
Since the limestone statue is 56 years older:
L = 16 + 56 = 72
The marble statue is 16 years old, and the limestone statue is 72 years old.
-T.B.
Answer:
38°
Step-by-step explanation:
EFGH is an isosceles trapezoid (a trapezoid with two congruent legs is isosceles)
∠HGF=70° (base angles of an isosceles trapezoid are congruent)
∠EGH=32° (angles in a triangle add to 180°)
∠FGE=38° (angle subtraction postulate)