Answer:
Step-by-step explanation:
Remark
The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20 must equal 52. That's all you have to do. Just equate the 2 givens and solve.
Givens
x - 20 is one angle
52 is the other.
Solution
x - 20 = 52 Add 20 to both sides.
x - 20 + 20 = 52 +20 Combine
x = 72
Answer: C
Answer:
B
Step-by-step explanation:
This is an exponential function. These types of functions have asymtotes. Asymtotes are when x or y is approaching a specific value, but it's not touching it. If you put your function in a graphing calculator, you will find that the y is approaching 0, but it's not quite touching it. What we're looking for, however is domain (x), and there are no asymtotes for x because as you can see, every value on the x axis has a y point. Therefore the domain is all real numbers.
Answer:
Step-by-step explanation:
9(2.3n+6)+10.45>43.7
(9*2.3n)+(9*6)+10.45>43.7
20.7n+54+10.45>43.7
20.7n+64.45>43.7
Using the properties of arcs and inscribed angles, B is 110/2=55.
Write the equation of the first train: x = 12t
Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0.
Now solve the equation: 12t=-20t+72,
32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours.
Now the equation of the <span>pigeon is like this: x = 48t.
</span>Then for t = 2.25, we get

<span>
The Hyde has flown 108 km when the trains meet.</span>