Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked​ together?

About 3 hours and 5 minutes to paint the room together.

Step-by-step explanation:

Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.

Room/Hour

1/5 ± 1/8 =8/40  

8/40+5/40=13/40

How long to paint the room?

13/40 x 1= 40/13

40÷13=3.0777

So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes

∠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.

1/4 because there is 4 grades.