Answer:
x = 7 and y = 17
Step-by-step explanation:
16x + 9x + 5 = 180 cuz they are supplementary
25x = 175
x = 7
We also know that 16x + 4y = 180
so 16(7) + 4y = 180, so 4y = 180 - 112, so 4y = 68. y = 17
hope this makes sense
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
The answer is that y is equal to zero
Since complementary angles add to 90°, (4x - 1) and (5x + 19), also add to 90°.
Thus, lets form an equation:
90 = 5x + 19 + 4x - 1
72 = 9x
x = 9
Thus, the measure of angle B is 64°.
