Best answer gets brainiest. Ariel hiked to a famous point with a beautiful view. It took 2 hours and 20 minutes to hike to the viewpoint and 55 minutes to hike back. Ariel spent 1 hour and 40 minutes enjoying the view at the top. She finished the hike at 2:55 P. M. What time did Ariel start the hike to the viewpoint? Include A. M. or P. M. in your answer.

10: 00 AM

Step-by-step explanation:

2 hr 20 minutes +55 min= 3 hours 15 minutes

3. 15+  1 hr 40 min= 4 55 min

2: 55 pm- 4 hours and 55 minutes= 10 am

Ariel starts hiking at 10:00am

Step-by-step explanation:

    2hr 20min

+          55min

+    1hr 40min

————————

   4hr 55min total time spent hiking.

14:55 - 4hr 55min = 10:00

2:55 pm - 4hr 55min = 10:00am

∠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.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.