"The captain of a rafting boat takes his crew down river for 6 hours, covering a total of 56 miles. When he realizes he left one of his passengers behind, he is forced to paddle back upriver for 8 miles. The trip back up
took him 3 hours."
A student used the following system of equations to model the situation given above. Which of the statements
is true about the system of equations the student used?
b = the speed of the boat
r = the speed of the current
8(6-r) = 3
16(6+r) = 56
A. The system of equations the student used is correct.
B. The top equation in the system is incorrect.
C. The bottom equation in the system is incorrect.
D. Both equations in the system are incorrect.

∠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.

98%

step-by-step explanation:

answer: 800

step-by-step explanation: