Answer:
a) m∠3=113°
b) x=8 (but check below)
Step-by-step explanation:
a) we know m∠1=m∠5
6x-5=5x+7
x=12
we also know m∠1+m∠3=180°
plug x into the formula for m∠1
m∠1=67
m∠1+m∠3=180°
67+m∠3=180°
m∠3=113°
b) Again, we know since those lines are parallel that m∠4=m∠8
x²-4x=32
x²-4x-32=0
(x-8)(x+4)=0
x=8 or x=-4
i think (not 100% sure about this part lol) but x cannot be negative so it's 8
again i'm not sure but it is either 8 or 8,-4.
- × 9x = -9x
- × +8 = -8
-9x - 2x = -11x
-8 - -10 = +2
answer = -11x +2
A.T.Q, equation would be:
3x-18 = 2x
3x-2x = 18
x = 18
The number is 18
Answer:
L(t) = 5·sin(πt) +7
Step-by-step explanation:
The middle of the oscillation of the given function occurs when t=0. At that point, ...
L(0) = d = 7
The next maximum of the oscillation occurs when the argument of the sine function is π/2.
b·t = π/2
b = π/(2t) = π/(2·0.5) = π
At that maximum, the length is 12, so we have ...
L(0.5) = a·sin(0.5π) +7 = 12
a = 5
The function L(t) is ...
L(t) = 5·sin(πt) +7
Answer:
x = 6
Step-by-step explanation:
