The following graph shows the height, in feet, over time, in seconds, of a bottle rocket that was launched from the ground. which of the following are true? select all that apply

OPtion 1,3 and 5 are only correct

Step-by-step explanation:

Given is a graph showing the height on y axis and time on x axis.

We find that initially starting from 0, it reaches maximum at 7.5 seconds to a height of 56.25 feet

Then comes down to the ground after 15 seconds

The parabola shape has vertex at (7.5,56.25)

Hence symmetrical about x=7.5. Not one solution because we find that when height =0, t takes two values as 0 and 15.

OPtion 1,3 and 5 are only correct

1) The bottle rocket reaches the maximum at 56.25 feet

ii) Axis of symmetry is x=7.5

iii) Relative maximum at (7.5,56.25)

∠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.