Let
be the measure of the angle labeled in the attached image below. By the law of sines,
![\dfrac{\sin\theta}{10x+5}=\dfrac{\sin(\pi-\varphi)}{78}=\dfrac{\sin\varphi}{78}\implies\sin\varphi=\dfrac{78\sin\theta}{10x+5}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin%5Ctheta%7D%7B10x%2B5%7D%3D%5Cdfrac%7B%5Csin%28%5Cpi-%5Cvarphi%29%7D%7B78%7D%3D%5Cdfrac%7B%5Csin%5Cvarphi%7D%7B78%7D%5Cimplies%5Csin%5Cvarphi%3D%5Cdfrac%7B78%5Csin%5Ctheta%7D%7B10x%2B5%7D)
and
![\dfrac{\sin\theta}{6x-1}=\dfrac{\sin\varphi}{42}\implies\sin\varphi=\dfrac{42\sin\theta}{6x-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csin%5Ctheta%7D%7B6x-1%7D%3D%5Cdfrac%7B%5Csin%5Cvarphi%7D%7B42%7D%5Cimplies%5Csin%5Cvarphi%3D%5Cdfrac%7B42%5Csin%5Ctheta%7D%7B6x-1%7D)
Then
![\dfrac{78\sin\theta}{10x+5}=\dfrac{42\sin\theta}{6x-1}\implies78(6x-1)=42(10x+5)](https://tex.z-dn.net/?f=%5Cdfrac%7B78%5Csin%5Ctheta%7D%7B10x%2B5%7D%3D%5Cdfrac%7B42%5Csin%5Ctheta%7D%7B6x-1%7D%5Cimplies78%286x-1%29%3D42%2810x%2B5%29)
From here we can solve for
:
.
Answer:
Step-by-step explanation:
Answer:
600,000 mL
Step-by-step explanation:
Since there is 1,000 mL in 1 L, 600 L = 600,000 mL.
2 fractions which are equivalent to 3/60 are: 6/120 and 9/180.
To find equivalent fractions, you have to multiply the numerator and denominator by the same number.
So, to find 2 equivalent fractions of 3/60,
multiply 3 by 2 and 60 by 2.
You get 6/120.
Now, again multiply 3/60 by another number. Let's choose 3.
multiply 3 by 3 and 60 by 3.
You get 9/180.
Hope it helps
Answer:
I believe it is 3?
Step-by-step explanation: