Answer:
RQ = 18
Step-by-step explanation:
KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is
=
, substitute values
=
( cross- multiply )
45(38 - x) = 50x ← distribute left side
1710 - 45x = 50x ( add 45x to both sides )
1710 = 95x ( divide both sides by 95 )
18 = x
That is RQ = 18
Answer:
is a factor of
Step-by-step explanation:
is a factor of
We will prove this with the help of principal of mathematical induction.
For n = 1, is a factor
, which is true.
Let the given statement be true for n = k that is is a factor of
.
Thus, can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1
Thus, is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.