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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Answer:
Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So 
.
We have the equation:
Make the above replacement:
Since cotangent has period 180 degrees, we can also write this as:
So solving the following will give us a set of solutions for 
:
Add on both sides:
Subtract 10 on both sides:
Divide both sides by 2:
Symmetric property:
32 grams = water mass + sugar mass . 100% syrup=75% water+ 25%sugar
original water content= 32*75/100=24 grams
original sugar content= 32*25/100= 8grams
total mass at 10% syrup:
8grams/total mass=10%=0.1
total mass=8/0.1=80grams
total mass of water=80grams- 8grams of sugar content= 72 grams
total mass of water added=72grams- 24grams original water content= 48grams.
answer: 48grams
Answer:
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Step-by-step explanation: hope this helps
