Given that the line segments NU and US can also be written as line segment NS then Point U would satisfy the Definition of Betweenness.
This simply means that Point U lies between Points N and S along the same line.
Answer: The initial volume is 593.76mL
Step-by-step explanation:
As you do not say anithing about the pressure, i guess that the pressure remains constant.
If the gas is an ideal gas, we have:
P*V = n*R*T
where P is pressure, n is number of moles and R is a constant.
Now, initially we have:
P*Vi = n*R*315°C
finally we have:
P*825mL = n*R*452°C
Now we can take the quiotient of those two equations and get:
(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)
Now we have:
Vi/852mL = 315/452
Vi = (315/452)*852mL = 593.76mL
So when we expand the gas at constant pressure, we increase the temperature.
If one angle is 8 times bigger than the other, the bigger angle's measure would be 8x and the smaller angle's measure would be x. 8x+x=90. This simplifies to 9x=90. To find x, you divide 9 from 90, making x=10. This means the smaller angle (Angle 2) is 10° and the bigger angle's (Angle 1) is 8 times 10, so it is 80°.
In order to answer this, we will first need to combine like terms on each side. on the left, you can leave them alone. however on the right, we will need to combine 2 and 11. this is 13. the right side becomes 13-16y. after that, we can add 20y to both sides. that equals 15=13+4y now we can subtract 13 from both sides. 2=4y. then we divide by 4 on both sides to find y. y=.5
