The graph shows the distance y, in miles, of a moving train from a station over a certain period of time, x, in hours: a graph titled distance vs time is shown with time in hours labeled on x-axis and distance from station in miles labeled on y-axis. the scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y-axis shows the numbers 0, 45, 90, 135, 180, 225, 270, 315, 360. the graph shows a straight line joining the ordered pairs 0, 90, and 1, 135, and 2, 180, and 3, 225, and 4,270. what is the speed (in miles per hour) of the train and why? 45 miles per hour, because speed is the rate of change of distance 90 miles per hour, because speed is the initial value of the function 135 miles per hour, because speed is the distance traveled in unit time 270 miles per hour, because speed is the distance traveled in a certain time@prestonrobotics

45 miles per hour, because speed is the rate of change of distance

Step-by-step explanation:

Speed is a rate of change.  It indicates how much the distance changes per unit of time.

In this situation, the train goes from (0, 90) to (1, 135).  This shows us that the distance changed by 135-90 = 45 miles over 1-0 = 1 hour.  This gives us the speed 45 miles per hour.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons