Answer:
50
Step-by-step explanation:
x = √30² - 18² = √576 = 24
tan A = 18/24 = 3/4
∠A = ∠B
tan B = tan A = 24 / y = 3 / 4
y = (24 x 4) / 3 = 32
Z = y + 18 = 32 + 18 = 50
Answer:
no solution
Step-by-step explanation:
There are no values of x that make the equation true.
Answer:
(-1,2)
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
We shall prove that for all
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let
, then we have
, and evidently,
.
Assume that
is divisible by
for
. Then, by this assumption,
.
Now, let
. Then:

Since
, we may conclude, by the axiom of induction, that the property holds for all
.