We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.
Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10
So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)
Answer:
128
Step-by-step explanation:
Answer:
dV/dt = 100 cm³/min
Step-by-step explanation:
Given
V = 728 cm³
P = 182 kPa
dP/dt = - 25 kPa/min
dV/dt = ?
If we apply the ideal gas equation
P*V = n*R*T
where n*R*T is constant
we have
d(P*V)/dt = d(n*R*T)/dt
⇒ d(P*V)/dt = 0
⇒ V*(dP/dt) + P*(dV/dt) = 0
⇒ dV/dt = - (V/P)*(dP/dt)
Plugging the known values we obtain
⇒ dV/dt = - (728 cm³/182 kPa)*(- 25 kPa/min)
⇒ dV/dt = 100 cm³/min
Answer:
its simple greatest number less that 400 is 399
