Answer:
Step-by-step explanation:
There are four axioms to prove the triangles are contruent.They are
SSS(side side side axiom)
SAS(side angle side axiom)
AAS(angle angle side axiom)
ASA(angle side angle axiom)
RHS (right angle hypotenuse side axiom)
here two triangles are congruent by RHS axiom
Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:
So John is 8 years old