The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°
<h3 /><h3>Angle on a circumference</h3>
An angle at the circumference of a circle is half the angle at the centre standing on the same arc.
In other words, the angle at the centre of a circle is twice the angle at the circumference.
Therefore,
m∠UVW = 134 / 2
m∠UVW = 67 degrees
learn more on geometry here; brainly.com/question/16836055
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The solution is 2x-7 is 78
Answer:
![x=2.170](https://tex.z-dn.net/?f=x%3D2.170)
Step-by-step explanation:
The given equation is
.
We take logarithm of both sides to base 2 to get:
![\log_2(2^{x+1})=\log_29](https://tex.z-dn.net/?f=%5Clog_2%282%5E%7Bx%2B1%7D%29%3D%5Clog_29)
Apply the power rule of logarithms to get:
![x+1=\log_29](https://tex.z-dn.net/?f=x%2B1%3D%5Clog_29)
We now apply the change of base formula:
![x+1=\frac{\log_{10}9}{\log_{10}2}](https://tex.z-dn.net/?f=x%2B1%3D%5Cfrac%7B%5Clog_%7B10%7D9%7D%7B%5Clog_%7B10%7D2%7D)
![x+1=\frac{0.9542}{0.3010}](https://tex.z-dn.net/?f=x%2B1%3D%5Cfrac%7B0.9542%7D%7B0.3010%7D)
![x+1=3.1701](https://tex.z-dn.net/?f=x%2B1%3D3.1701)
![x=3.1701-1](https://tex.z-dn.net/?f=x%3D3.1701-1)
![x=2.1701](https://tex.z-dn.net/?f=x%3D2.1701)
To the nearest thousandth, ![x=2.170](https://tex.z-dn.net/?f=x%3D2.170)